# How do you differentiate #f(x)=ln2x * sin4x# using the product rule?

##### 1 Answer

Jun 1, 2016

#### Answer:

f'(x)=(2sin(4x))/2x + 4cos(4x)ln2x

#### Explanation:

The product rule says you take the derivative of your first function and multiply it by the second and add it to the product of the derivative of your second function and your original first function.

We start with taking the first derivative of function

We then take the derivative of our second function,

Lastly add them up to get the final answer