Find the derivative?
See the answer for the process on arriving to:
To find the derivative of
we will (first) need to use the product rule. Recall that the product rule states that the derivative of the product of functions
The two functions being multiplied here are
First, recall that
In all, we see that
The derivative of the inner function is
Returning to the whole function, substitute the two derivatives we've found in:
We're attempting to find the derivative of the product of two things, so the Product Rule will help here.
First, I'll rewrite our equation in terms of functions. Thus, we have:
Since we know both functions and their derivatives, we can plug in now. We get:
NOTE: We multiplied by the red expression to find a common denominator
After using the Product Rule and a good deal of algebraic manipulation, we were able to find the derivative of
Hope this helps!