# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

25 results; page 1/1.

## Question 24001: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0026`; number: 24001
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0026/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0026.json)

## Question 24002: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0027`; number: 24002
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0027/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0027.json)

## Question 24003: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0028`; number: 24003
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0028/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0028.json)

## Question 24004: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0029`; number: 24004
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0029/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0029.json)

## Question 24005: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0030`; number: 24005
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0030/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0030.json)

## Question 24006: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0031`; number: 24006
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0031/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0031.json)

## Question 24007: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0032`; number: 24007
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0032/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0032.json)

## Question 24008: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0033`; number: 24008
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0033/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0033.json)

## Question 24009: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0034`; number: 24009
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0034/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0034.json)

## Question 24010: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0035`; number: 24010
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0035/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0035.json)

## Question 24011: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0036`; number: 24011
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0036/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0036.json)

## Question 24012: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0037`; number: 24012
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0037/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0037.json)

## Question 24013: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0038`; number: 24013
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0038/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0038.json)

## Question 24014: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0039`; number: 24014
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0039/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0039.json)

## Question 24015: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0040`; number: 24015
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0040/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0040.json)

## Question 24016: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0041`; number: 24016
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0041/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0041.json)

## Question 24017: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0042`; number: 24017
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0042/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0042.json)

## Question 24018: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0043`; number: 24018
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0043/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0043.json)

## Question 24019: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0044`; number: 24019
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0044/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0044.json)

## Question 24020: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0045`; number: 24020
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0045/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0045.json)

## Question 24021: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0046`; number: 24021
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0046/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0046.json)

## Question 24022: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0047`; number: 24022
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0047/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0047.json)

## Question 24023: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0048`; number: 24023
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0048/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0048.json)

## Question 24024: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0049`; number: 24024
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0049/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0049.json)

## Question 24025: Each Shifted-Basis Coefficient Is the Derivative Divided by Its Factorial

- ID: `q-20261014-advance-20261112-r02-taylor-polynomial-0050`; number: 24025
- Processing: second_context_reviewed
- MKO: [mko-taylor-polynomial](/en/mko/mko-taylor-polynomial/)
- Family: [qf-mod43-taylor-coefficient-construction](/en/explore/?family=qf-mod43-taylor-coefficient-construction)
- Batch: [batch-20261014-advance-20261112-r02-taylor-polynomial-foundations](/en/explore/?batch=batch-20261014-advance-20261112-r02-taylor-polynomial-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0050/) / [Markdown](/en/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261112-r02-taylor-polynomial-0050.json)