Math Playground
Calculus

Implicit differentiation

When y is mixed with x — differentiate both sides and solve for dy/dx.

When y is mixed with x in an equation, differentiate both sides treating y as a function of x — then solve for dy/dx.

Try it

x² + y² = 25, find dy/dx

2x + 2y · dy/dx = 0. So dy/dx = −x/y.