Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither.
f(x) = x^3 - 34x^2 - 23x
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The critical points are located at x = 0, 17. There are no local minima nor maxima or the test is inconclusive. (Simplify your answer. Use a comma to separate answers as needed.)
B. The critical point(s) x = 0, 17 correspond to local maxima. There are no local minima or the test is inconclusive. (Simplify your answer. Use a comma to separate answers as needed.)
C. The critical point(s) x = 0, 17 correspond to local minima and the critical point(s) x = 17 correspond to local maxima. The test may be inconclusive at some critical points. (Simplify your answers. Use a comma to separate answers as needed.)
Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither.
f(x) = x^3 + 34x^2 + 23x
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The critical points are located at x = 0. There are no local minima nor maxima or the test is inconclusive. (Simplify your answer. Use a comma to separate answers as needed.)
B. The critical point(s) x = 0 correspond to local maxima. There are no local minima or the test is inconclusive. (Simplify your answer. Use a comma to separate answers as needed.)
C. The critical point(s) x = 0 correspond to local maxima. The test may be inconclusive at some critical points. (Simplify your answers. Use a comma to separate answers as needed.)