Use the Shortcut Rules to Calculate the Derivative of the Given

question 44

Multiple Choice

Use the shortcut rules to calculate the derivative of the given function. $f ( x ) = - 3 x ^ { 0.75 }$

• A) \(f ^ { \prime } ( x ) = - 3 x ^ { - 0.25 }\)
• B) \(f ^ { \prime } ( x ) = - 2.25 x\)
• C) \(f ^ { \prime } ( x ) = - 3 x ^ { 0.75 }\)
• D) \(f ^ { \prime } ( x ) = - 2.25 x ^ { 0.75 }\)
• E) \(f ^ { \prime } ( x ) = - 2.25 x ^ { - 0.25 }\)

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