Polynomial derivative
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The formula, explained
(a×xⁿ)' = n×a×xⁿ⁻¹Supported grammar: sums of a*x^n terms, with integer powers from 0 to 20. Products of brackets and compound functions are not supported. Standalone sin(x), cos(x) and exp(x) are also recognized.
An example to check
Using the starting values below, the calculation gives:
Reading the function’s rate of change — The derivative gives the curve’s slope at each x value. Its sign helps identify intervals where the function increases or decreases.
A zero derivative at one point does not by itself prove a maximum or minimum: also examine its sign around that point.
How to use this tool
Check the required inputs: polynomial in x.
Choose the units and options that match your task. Calculate, check the result and use Copy or Print to keep a record. Rounding applies to the display; keep more precision in intermediate steps.
Where are my inputs processed?
Calculations run in your browser. Form values are not sent to Analytics. Copying, printing, sharing or opening an external service is your choice.
Method and interface checked on 2026-09-19 · Report an error