A function and its first and second derivatives are given. Use these to find all relative minima.
E) no relative minima

Question

A function and its first and second derivatives are given. Use these to find all relative minima.    ​
E) no relative minima

Quizplus · Accepted Answer

To find relative minima, we need to look for points where the first derivative is zero and the second derivative is positive. From the given functions, we can see that the first derivative is zero at x = -3 and x = 3.

Substituting these values into the second derivative, we find that f''(-3) = 2 > 0 and f''(3) = -2 < 0. Therefore, x = -3 is a relative minimum.

A Function and Its First and Second Derivatives Are Given