Derivative Calculator
Type a function. You get its derivative and the rule used on every term.
Example — Derivative of x^33x^2
How we got it — the example, step by step
- Use the power rule: multiply by the power, 3 → 3x^3.
- Lower the power by 1 → 3x^2.
Check it backwards
At x = 1.3 the slope of x^3 is about 5.07, and 3 × 1.3^2 = 5.07. The answer matches the graph's slope.
Questions people also ask
Which derivatives can it do?
Polynomials term by term, plus sin(x), cos(x), e^x, a^x, log(x) and simple fractions like 3/x. Each term's rule is named in the steps.
Does it check its own answers?
Yes. It compares the answer against the slope of the original function at a sample point, and shows that check on the page.