So far we have the following d x 20 xy y 20 d dx dx dx d The derivatives x and dx dx d x 20 dx However we note that the derivatives xy and d dx involve y Recall that the derivative of any term involving y will require the chain rule and include the factor dy first of these two derivatives involving y is the product of two differentiable functions so the product rule will be used Finding each of these derivatives gives the following result We also note t dx d dx xy x dy dx d dx v d 20 can be found using basic derivative rules learned in previous sections Doing so gives the following result dx d dx dy dx