Let F(x) = $x ^ { 3 }$ Using the Chain Rule, Find an Expression for the the Chain

Multiple Choice

Let f(x) = $x ^ { 3 }$ . Using the chain rule, find an expression for the derivative of [f(g(x) ) ].

A) 3 $x ^ { 2 }$ g'(x $) ^ { 3 }$
B) 3[g(x) $] ^ { 2 }$
C) g'(x $) ^ { 3 }$
D) 3[g(x) $] ^ { 2 }$ g'(x)
E) none of these