Partial Derivative Calculator

Compute partial derivatives of multivariable functions with step-by-step explanations. Supports trigonometric, exponential, logarithmic, and polynomial functions.

Input Function

Enter Function f(x,y,z,...):

Variable to differentiate with respect to:

Evaluate at point (optional):

Result

∂f/∂x = ?

Enter a function and click "Calculate" to see the derivative and step-by-step solution.

Example Functions

Click on any example to load it into the calculator

Polynomial

f(x,y) = x²y + 3x - y³

Variable: x

∂f/∂x = 2xy + 3

Trigonometric

f(x,y) = sin(x) * cos(y)

Variable: x

∂f/∂x = cos(x) * cos(y)

Exponential

f(x,y) = exp(x² + y)

Variable: y

∂f/∂y = exp(x² + y)

Fraction

f(x,y) = (x² + y)/(x - y)

Variable: x

∂f/∂x = [2x(x-y) - (x²+y)]/(x-y)²