Use this free partial derivative calculator to instantly compute the derivative of a multivariable function with respect to x or y. Ideal for calculus students, engineers, and researchers who need quick and accurate differentiation results.
A partial derivative measures how a multivariable function changes with respect to one variable while keeping the others constant. It is widely used in physics, optimization, economics, and machine learning.
When computing ∂f/∂x, all y terms are treated as constants. When computing ∂f/∂y, all x terms are treated as constants.
If f(x,y)=x²y + y² then ∂f/∂x = 2xy and ∂f/∂y = x² + 2y.
A derivative taken with respect to one variable while holding others constant.
It works best for polynomial-style multivariable expressions.
Yes, it is completely free to use.
Yes, the calculator is fully responsive and mobile-friendly.
