Find the local extrema of the function ()=41624 by using the specified test.

(a) Use the First Derivative Test.

(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list of points coordinates in the form (,). Enter DNE if the function has no local maximum or minimum. Enter UNDEFINED if the specified test is not applicable.)

(b) Use the Second Derivative Test.

(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list of points coordinates in the form (,). Enter DNE if the function has no local maximum or minimum. Enter UNDEFINEDif the specified test is not applicable.)

(c) Which of the tests is effective for the given function?

Both are effective.

The Second Derivative test.

The First Derivative test.

Both are ineffective.