Find the critical points and the intervals on which the function f(x) = (x³ – 4x) e* + 15 is increasing or decreasing. Use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither).

Find the critical values of f then use the second derivative to determine if f has a relative maximum or relative minimum at each critical value.

Let f(x) = 2x + 2 ƒ−¹(x) = =

1/(x2 - 4) Use the following function along with its first and second derivatives to do the following: A. Find the intervals of increase and decrease and use the critical numbers to find the local max and minimums. B. Find the Concavity  C. Sketch the graph of the curve.