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

By looking at the graph of the function, we can see that a relative minimum occurs at approximately x = -1.5. To confirm this, we can look at the first derivative and see that it changes sign from negative to positive at x = -1.5, indicating a change from decreasing to increasing. Additionally, we can look at the second derivative and see that it is positive at x = -1.5, confirming that this is a relative minimum. Therefore, the answer is choice C.

A Function and Its First and Second Derivatives Are Given