Let f : (-5,5)rarrR be a differentiable ...

Let `f : (-5,5)rarrR` be a differentiable function of with `f(4) = 1, f'(4)=1, f(0) = -1 and f'(0) = If g(x)=(f(2f^(2)(x)+2))^(2),` then g'(0) equals

-4

-8

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To find \( g'(0) \) for the function \( g(x) = f(2f^2(x) + 2)^2 \), we will use the chain rule and the given information about the function \( f \). ### Step-by-Step Solution: 1. **Identify the function**: \[ g(x) = f(2f^2(x) + 2)^2 \] ...

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