Chapter 3: Derivatives - Section 3.2 - The Derivative as a Function - Exercises 3.2 - Page 117: 48

a. all the points except at $x=-2, 2$. b. $x=-2, 2$ c. no points.

a. Examine the graph given by the exercise. We can find that all the points in the interval of the function are differentiable except at $x=-2, 2$, because the left and right side derivatives at these points are not the same (opposite signs). b. Examine the graph given by the exercise. We can find that two points at $x=-2, 2$ in the interval of the function are continuous but not differentiable. The function is continuous at these points because the left and right limits of the function are equal to the function values at these points. c. Examine the graph given by the exercise. We can find that no points in the interval of the function are neither continuous nor differentiable.