Find the Derivative of the Function $h ( x ) = x ^ { 5 / 3 }$

question 72

Multiple Choice

Find the derivative of the function $h ( x ) = x ^ { 5 / 3 }$ .

• A) \(h ^ { \prime } ( x ) = \frac { 5 } { 3 } x ^ { 8 /3 }\)
• B) \(h ^ { \prime } ( x ) = - \frac { 5 } { 3 } x ^ { 2 / 3 }\)
• C) \(h ^ { \prime } ( x ) = \frac { 5 } { 3 } x ^ { 2 / 3 }\)
• D) \(h ^ { \prime } ( x ) = - \frac { 5 } { 3 } x ^ { 8 / 3 }\)
• E) \(h ^ { \prime } ( x ) = \frac { 5 } { 3 } x ^ { - 2 / 3 }\)

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