Logan Henry

12/01/2024 · Elementary School

Use the function below to answer parts a and \( \mathbf{b} \). \( f(x)=\frac{x^{3}}{3}-100 x \) on \( [-13,13] \) a. Find the critical points of the function on the given interval. The critical point(s) occur at \( x= \) (Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.) b. Use a graphing utility to determine whether each critical point corresponds to a local maximum, local minimum, or neither. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) \( x=\square \) correspond(s) to the local maximum/maxima. (Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.) There is no local maximum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) \( x=\square \) correspond(s) to the local minimum/minima. (Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.) E. There is no local minimum.