Chapter 3.1, Problem 31E

Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same derivative.

Find the derivative of the function f(x) = 2x3 – 3x by using the definition of the - derivative.

Calculate the derivative of the function f (x) =-5x + 2 and plot the function and its derivative on the same graph. Describe the relationship between the two graphs.