Let $f : (- 5, 5) \to R$ be a differentiable function of with $f (4) = 1, f^{'} (4) = 1, f (0) = - 1 and f^{'} (0) = I f g (x) = (f (2 f^{2} (x) + 2))^{2},$ then g'(0) equals

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Let

f : (- 5, 5) \to R

be a differentiable function of with

f (4) = 1, f^{'} (4) = 1, f (0) = - 1 and f^{'} (0) = I f g (x) = (f (2 f^{2} (x) + 2))^{2},

then g'(0) equals

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Question Text

Let

f : (- 5, 5) \to R

be a differentiable function of with

f (4) = 1, f^{'} (4) = 1, f (0) = - 1 and f^{'} (0) = I f g (x) = (f (2 f^{2} (x) + 2))^{2},

then g'(0) equals

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