Find the Slope of the Tangent Line to the Graph $f ( x ) = 4 x ^ { 3 }$

question 21

Multiple Choice

Find the slope of the tangent line to the graph of the given function $f ( x ) = 4 x ^ { 3 }$ at the point $( 2,32 )$ .

• A) \(f ^ { \prime } ( 2 ) = 96\)
• B) \(f ^ { \prime } ( 2 ) = 0\)
• C) \(f ^ { \prime } ( 2 ) = 24\)
• D) \(f ^ { \prime } ( 2 ) = 48\)
• E) \(f ^ { \prime } ( 2 ) = 16\)

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