Let f x g x where gu Step 1 We are given the function f x eg x The first step is to find the derivative f x Let h x ex and note that the func g x Recall the product rule in terms of two differentiable functions h x and g x r x n x g x g x n x To apply this rule we first find the derivative of h x ex h x ex h x d h x g x n x 9 x 9 x n x dx 0 I We now apply the product rule F x h x g x g x g x h x 0 90x g x