Let be a differentiable function with ,

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

f:(-5,5)\to\mathbb{R}

be a differentiable function with

f(4)=1

,

f'(4)=1

,

f(0)=-1

and

f'(0)=1

. If

g(x)=(f(2f^2(x)+2))^2

, then

-g'(0)

equals

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