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Standard 12Mathematics

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STANDARD 9 PRACTICE0 / 15 topics

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India · Standard 12View curriculum reference
STANDARD 12 · FORMULA TO ANSWER

Differentiation & integration

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Mathematics

Polynomial derivative at a point

Calculate polynomial derivative at a point and see the working behind your result.

Inputs

Use the units shown
RESULT
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Formula & explanation
p=ax³+bx²+cx+d ⇒ p′=3ax²+2bx+c

Variables & units

Cubic coefficient · a
Numeric value · minimum -1000000, maximum 1000000
Quadratic coefficient · b
Numeric value · minimum -1000000, maximum 1000000
Linear coefficient · c
Numeric value · minimum -1000000, maximum 1000000
Constant · d
Numeric value · minimum -1000000, maximum 1000000
Evaluate derivative at x
Numeric value · minimum -1000, maximum 1000

Worked example

For p(x)=x³, the derivative at x=2 is 12.

Assumptions

This evaluates the derivative of a real polynomial of degree at most three; it is not an arbitrary-expression algebra system.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

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NCERT/CBSE references. Topic selections are curated practice; board, edition and year requirements vary. These are suggested topic collections, including related practice and enrichment; they are not exhaustive syllabus mappings, university endorsements, or complete exercise solutions. All public calculators stay available to every learner.

Books and source materials
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Source review: 2026-11-02. Book titles follow the NCERT publication list. Class 9 topic alignment uses the CBSE 2026–27 curriculum. Publisher sites can update editions and may occasionally be unavailable.