THE STUDENT SOLUTION DESK

College maths calculators & solutions

School maths, college foundations, and room to follow every step.

Maths book shelf ↗Study & practice →

ONE WORKSPACE. MANY WAYS TO LEARN.

Find your level.
Make the maths click.

Your college subject

10working tools
for this practice collection

Undergraduate foundations · Calculus & numerical methodsView curriculum reference

COLLEGE PRACTICE · FORMULA TO ANSWER

Differentiation & integration

Enter your values. Follow the working. Open the full solution whenever you need more room.

Formula / question typeSearch this collection

Browse topic formulas2 tools

Private calculation · no account neededOpen calculator

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

—

Enter your values and select Calculate.

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.

Practice with an example

Use the default input values to find the answer. The reset icon restores those values.

Calculated on your device. Your latest 100 calculations stay in this browser.

Know what’s covered.

Introductory undergraduate practice referenced to the linked course. These bounded tools do not cover the complete course or imply university affiliation. 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