Differentiate both sides of the equation.

The derivative of with respect to is .

Differentiate using the Product Rule which states that is where and .

The derivative of with respect to is .

Differentiate using the Power Rule.

Differentiate using the Power Rule which states that is where .

Multiply by .

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

Replace with .

Find dy/dx y=xsin(x)