Part 1: A derivative computation using the chain rule

Suppose is any function that is differentiable for all real numbers . Evaluate the following derivative.
Enter the derivative of as F'(x) using prime notation. Your answer should be in terms of and other functions of the variable .

Part 2: A derivative computation using the FTC

Part 3: A composition of two functions

Part 4: A derivative computation using the FTC and the chain rule