Differentiate both sides of the equation.

By the Sum Rule, the derivative of with respect to is .

The derivative of with respect to is .

Evaluate .

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

Rewrite as .

Reorder terms.

Differentiate using the Power Rule which states that is where .

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

Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Replace with .

Find dx/dy sin(y)+3x=y^2