Answer the problem.
-Let $f ( x ) = ( x - 1 ) ^ { 2 / 3 }$
(a) Does $f ^ { \prime } ( 1 )$ exist?
(b) Show that the only local extreme value of $f$ occurs at $x = 1$.
(c) Does the result of (b) contradict the Extreme Value Theorem?
(d) Repeat parts (a) and (b) for $f ( x ) = ( x - c ) ^ { 2 / 3 }$.
Give reasons for your answers.

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The Answer of Answer the problem.
-Let $f ( x ) = ( x - 1 ) ^ { 2 / 3 }$
(a) Does $f ^ { \prime } ( 1 )$ exist?
(b) Show that the only local extreme value of $f$ occurs at $x = 1$.
(c) Does the result of (b) contradict the Extreme Value Theorem?
(d) Repeat parts (a) and (b) for $f ( x ) = ( x - c ) ^ { 2 / 3 }$.
Give reasons for your answers.

Answer the Problem f(x)=(x−1)2/3f ( x ) = ( x - 1 ) ^ { 2 / 3 }f(x)=(x−1)2/3

Answer the Problem $f ( x ) = ( x - 1 ) ^ { 2 / 3 }$