Find all critical numbers for the function $f ( x ) = \sqrt [ 3 ] { 9 - x ^ { 2 } }$ .
A)0
B)-3
C)0, -3
D)No Critical Number
E)3
F)3, -3
G)0, 3, -3
H)None of the above

Name: Find all critical numbers for the function $f ( x ) = \sqrt [ 3 ] { 9 - x ^ { 2 } }$ . A)0 B)-3 C)0, -3 D)No Critical Number E)3 F)3, -3 G)0, 3, -3 H)None of the above
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Quizplus · Accepted Answer

The critical numbers occur where the derivative is zero or undefined. The derivative of $f(x)$ is undefined at $x = 3$ and $x = -3$, and it is zero at $x = 0$.

Find All Critical Numbers for the Function f(x)=9−x23f ( x ) = \sqrt [ 3 ] { 9 - x ^ { 2 } }f(x)=39−x2​

Find All Critical Numbers for the Function $f ( x ) = \sqrt [ 3 ] { 9 - x ^ { 2 } }$