Mathematics

Problem

Let

g

be differentiable and invertible with

g(4)=9

and

g'(4)=6

. Define

H(x)=\sqrt{\,g^{-1}(x)\,}

. Calculate

H'(9)

. a)

\dfrac1{12}

\dfrac1{24}

\dfrac1{6}

\dfrac1{48}