Differentiate both sides of the equation.

Differentiate using the Power Rule which states that is where .

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 .

Rewrite as .

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

Rewrite the equation as .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify .

Rewrite as .

Rewrite as .

Rewrite in terms of sines and cosines.

Multiply by the reciprocal of the fraction to divide by .

Multiply by .

Replace with .

Find dy/dx x=tan(y)