Math Playground
Calculus

Chain rule

Differentiate the outside, multiply by the derivative of the inside.

When you have a function inside a function, differentiate the outside, then multiply by the derivative of the inside.

Chain rule
(f(g(x)))' = f'(g(x)) · g'(x)
Try it

d/dx(sin(x²))

cos(x²) · 2x.