Suppose that $f\left(x\right)$ is differentiable invertible function $f^{prime}\left(x\right)\ne 0and{h}^{prime}\left(x\right)=f\left(x\right)\dot{}$ Given that $f\left(1\right)=f^{prime}\left(1\right)=1,h\left(1\right)=0$ and $g\left(x\right)$ is inverse of $f\left(x\right)$ . Let $G\left(x\right)=x^{2}g\left(x\right)-xh\left(g\left(x\right)\right)\forall x\in R\dot{}$ Which of the following is/are correct? $G^{prime}\left(1\right)=2$ b. $G^{prime}\left(1\right)=3$ c.$G^1=2$ d. $G^1=3$

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