Derivative calculator

Calculate derivatives step by step. Supports power rule, chain rule, product rule, quotient rule, and trigonometric, exponential, logarithmic functions.

f(x) =

How to take derivatives

The derivative measures the rate of change of a function. Key rules: power rule (nx^(n-1)), product rule (uv' + u'v), quotient rule ((u'v - uv')/v²), and chain rule (f'(g(x))·g'(x)).

Common derivatives

d/dx[x^n] = nx^(n-1), d/dx[sin x] = cos x, d/dx[cos x] = -sin x, d/dx[e^x] = e^x, d/dx[ln x] = 1/x.