Please write the answer in a way I can copy it, not on paper.

Let f (x) be a function that is differentiable everywhere and has a derivative f' (x) = 3x2 + 14x + 6. Verify that the Intermediate Value Theorem for Derivatives applies to the function f' (x) on the interval [-6, -3], and find the value of c guaranteed by the theorem such that f' (c) = -2 (4 points) B I UIf a function fis continuous, is the function f also differentiable? If not, give a counterexample. Explain your answer. (4 points) B I y Vx