Let G(x) = $\sqrt { x }$ Using the Chain Rule, Find an Expression for the Chain

Multiple Choice

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

A) $\frac { 1 } { 2 \sqrt { f ( x ) } }$ f'(x)
B) $\frac { 1 } { 2 \sqrt { x } }$ f'( $\sqrt { x }$ )
C) $\sqrt { x }$ f'(x) + $\frac { 1 } { 2 }$ $x ^ { - 1 / 2 }$ f(x)
D) $\sqrt { x }$ f( $\sqrt { x }$ )
E) none of these