Partial Differential 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.
Needed to evaluate a partial derivative at a point.
Derivative
2 * x * y
Derivative Calculator
Notation
∂f/∂x
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

3 steps
  1. f(x) = y * x^2 + y^3
  2. d/dx = 2 * x * y
  3. y held constant while differentiating with respect to x.

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