;

Differentiate both sides 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 .

Differentiate using the Constant Multiple Rule.

Since is constant with respect to , the derivative of with respect to is .

Move to the left of .

Rewrite as .

Differentiate using the Power Rule which states that is where .

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

Divide each term in by .

Simplify the left side of the equation by cancelling the common factors.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify .

Separate fractions.

Convert from to .

Combine and .

Replace with .

Replace with and with in the expression.

Cancel the common factor.

Rewrite the expression.

Find dy/dx at (0,p/2) sin(2y)=x ; (0,pi/2)