Let be differentiable and invertible with and

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

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}

(b)

\dfrac1{24}

(c)

\dfrac1{6}

(d)

\dfrac1{48}

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