Question 10 of 20 >

Find the critical points, domain endpoints, and local extreme values for the function.

y=x√√4-x²

This test: 20 point(s) possible

This question: 1 point(s) possible

What is/are the critical point(s) or domain endpoint(s) where f' is undefined? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

O A. The critical point(s) or domain endpoint(s) where f' is undefined is/are at x =

(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

OB. There are no critical points or domain endpoints where f' is undefined.

What is/are the critical point(s) where f' is 0? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

O A. The point(s) corresponding to the local minima is/are

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O A. The critical point(s) where f' is 0 is/are at x =

(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)

O B. There are no critical points where f' is 0.

From the critical point(s) and domain endpoint(s), what is/are the point(s) corresponding to local maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

O A. The point(s) corresponding to the local maxima is/are

(Type an ordered pair. Type an exact answer for each coordinate, using radicals as needed. Use a comma to separate answers as needed.)

O B. There are no points corresponding to local maxima.

From the critical point(s) and domain endpoint(s), what is/are the point(s) corresponding to local minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.