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Derivative Calculator

Differentiate any function of x symbolically — polynomials, trig, exponentials, logs and products — and evaluate the derivative at a point.

How to use

  1. 1Type a function of x, e.g. x^2 * sin(x) or exp(2x)/x.
  2. 2Optionally enter a value of x to evaluate the derivative there.

How it's calculated

Uses the standard rules — power, product, quotient and chain rules — applied symbolically, then simplified. Second derivative = derivative of the first.

Frequently asked questions

How do I write functions?

Use ^ for powers, * for multiplication (2x also works), sqrt(), exp(), log() for natural log, and sin, cos, tan.

Does it show steps?

It shows the derivative and second derivative. Step-by-step working is on our roadmap.

Can it do partial derivatives?

Differentiate with respect to another variable by choosing it in the 'with respect to' field; other letters are treated as constants.