Differentiate both sides of the equation.

The derivative of with respect to is .

Differentiate using the chain rule, which states that is where and .

To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

The derivative of with respect to is .

Simplify the expression.

Move to the left of .

Rewrite as .

Reform the equation by setting the left side equal to the right side.

Replace with .

Find dy/dx y=sin(cos(x))