Let f(x)=(x2+1)(3x3−7x+2). Work through the tasks below.
a. Part 1: (a) Find f′(x) in its simplest polynomial form.
b. Part 2: (b) Calculate the numerical value of f′(−1).
c. Part 3: (c) Show that f′(x) is a polynomial of degree 4 and state its leading term.