Apply the constant factor and product rules of differentiation to find the first derivative of each of the following functions. Write out the Leibniz notation for the product rule as applied to the given function. In each case take the derivative with respect to the independent variable suggested by the expression on the right side of the equal sign. Make sure that you assign the proper name to the derivative function.
Simonds, Calculus Lab Manual, §5.12 Supplement, Exercise 9