(a) Differentiating, we have k'(x) = 3x² − 1, so For the functions in Problems (a) Find the derivative at x = −1.

(b) Find the second derivative at x = −1.

(c) Use your answers to parts (a) and (b) to match the function to one of the graphs in Figure 3.10, each of which is shown centered on the point (−1, −1).

k(x) = x³ − x − 1

(1) (11) Figure 3.10 (IV)