Verified Calculus Solver with Step-by-Step Explanations

Derivative Calculator with Steps

Differentiate first-order, higher-order and common multivariable expressions while seeing the exact rule used at each step.

Deterministic coreAnimated stepsNo sign-up to try

Dedicated workspace

Derivative solver

Engine

Use ^ for powers and parentheses for functions, such as sin(x), log(x), or exp(2x).

Try an example

Rules you can recognize

Methods this calculator explains

Power and sum rules

CalculusMate names the rule, shows the transformed expression and keeps the final answer tied to deterministic work.

Product and quotient rules

CalculusMate names the rule, shows the transformed expression and keeps the final answer tied to deterministic work.

Chain rule

CalculusMate names the rule, shows the transformed expression and keeps the final answer tied to deterministic work.

Three clear moves

How to use this calculator

Choose the differentiation variable and an order from one to five. The engine builds a symbolic rule tree, simplifies the result, and independently recomputes first derivatives before marking them Verified.

Enter one expression using standard mathematical syntax.

Choose the variable and task-specific options.

Review the result, verification note and ordered steps.

Verified means checked, not merely generated

Continue with a related calculator built for a different calculus intent.