Derivative Calculator

Use ^ for powers and the usual function names: sin, cos, tan, ln, log, exp, sqrt, abs.
In partial-derivative mode the other variables are held constant.
1 for f′, 2 for f″, and so on.
The point a. In linearisation mode this is the centre of the approximation.
The nearby point where the tangent line is used as an estimate of f.
Used only to put a number to the symbolic difference quotient.
Needed to evaluate a partial derivative at a point.
Derivative
3 * x^2
Derivative Calculator
Notation
d/dx
Worked out from OpenStax, Calculus Volume 1, chapter 3 (Derivatives): the power, product, quotient and chain rules and 2 other sources.

How this is worked out

2 steps
  1. f(x) = x^3
  2. d/dx = 3 * x^2

Results are general information, not financial, tax, legal, medical or engineering advice.