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Suppose that `f(x)` is differentiable invertible function `f^(prime)(x)!=0a n dh^(prime)(x)=f(x)dot` Given that `f(1)=f^(prime)(1)=1,h(1)=0` and `g(x)` is inverse of `f(x)` . Let `G(x)=x^2g(x)-x h(g(x))AAx in Rdot` Which of the following is/are correct? `G^(prime)'(1)=2` b. `G^(prime)'(1)=3` c.`G^(prime)(1)=2` d. `G^(prime)(1)=3`

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Suppose that f(x) is differentiable invertible function f^(prime)(x)!=0a n dh^(prime)(x)=f(x)dot Given that f(1)=f^(prime)(1)=1,h(1)=0 and g(x) is inverse of f(x) . Let G(x)=x^2g(x)-x h(g(x))AAx in Rdot Which of the following is/are correct? G^(prime)(1)=2 b. G^(prime)(1)=3 c. G^(1)=2 d. G^(1)=3

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