Extreme Values

Find values of a and b such that the function has a local extreme value of 1 at x = 3. Is this extreme value a local maximum, or a local minimum? Give reasons for your answer.

Step 1:

In this question we have to find the values of and for which the function has an extreme value of at . Also determine whether this extreme value a local maximum, or a local minimum.

Step 2:

Differentiating the function with respect to ,