Solve this following

Question:

Let $\mathrm{f}:(-1,1) \rightarrow \mathrm{R}$ be a differentiable function with $\mathrm{f}(0)=-1$ and $\mathrm{f}^{\prime}(0)=1$. Let $\mathrm{g}(\mathrm{x})=[\mathrm{f}(2 \mathrm{f}(\mathrm{x})+$ 2)] $]^{2}$. Then $g^{\prime}(0)$ :

  1. 4

  2. $-4$

  3. 0

  4. $-2$


Correct Option: , 2

Solution:

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