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

Differentiate both sides of the equation.
The derivative of with respect to is .
Differentiate the right side of the equation.
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))