Differentiate the function f x sin 8 In x Step 1 Recall the Chain Rule in terms of the functions h x and g x which states that if g is differentiable at x and h is differentiable at g x then the composite function F h og define F x h g x is differentiable at x and F is given by the following F x h g x g x We are given the function f x sin 8 In x To write this is the form F x h g x we can let g x 8 In x and h x sin x Step 2 Before applying the Chain Rule we will first find the derivatives g x and h x g x 8 In x g x h x sin x h x sin z