Derivative Calculator

Numeric derivative f'(x) with a tangent line

Use x with + − * / ^ and functions like sin, cos, tan, ln, log, sqrt, abs, exp.

The x-value where the slope is measured.

d/dx [ x^2 ] at x = 1
Derivative f'(a) (x = 1)
2
Tangent line
y = 2x − 1
f(a)
1
Second derivative f''(a)
2

f is increasing here — the slope is positive. It is concave up (curving upward).

Graph of f(x) with the tangent line at the chosen point. f(x) = x^2Graph of f(x) with the tangent line at the chosen point. f(x) = x^2xy-3-2-112345-10-5510152025f'(1) = 2