Derivative calculator — free, every step, no sign-up
This tool differentiates single-variable polynomials using the power rule (the derivative of a·xⁿ is a·n·xⁿ⁻¹) and the sum rule (differentiate each term, then add the results). It shows the working for every term for free, with no account, no paywalled steps, and no app download.
Frequently asked questions
What kind of expressions can this handle?
Single-variable polynomial terms in x — things like 3x^3 + 5x^2 - 7x + 2, using the power rule and sum rule. It does not yet handle trig, log, exponential functions, or the chain/product/quotient rules.
What is the power rule?
For a term a·xⁿ, the derivative is a·n·xⁿ⁻¹ — multiply the coefficient by the exponent, then reduce the exponent by 1. This tool applies that rule to every term and adds the results (the sum rule).
What happens to a plain number, like +7?
A constant's derivative is always 0, since it doesn't change as x changes — it drops out of the result entirely.
Is this free with no sign-up?
Yes — completely free, runs in your browser, no account or app needed.