12th Class Mathematics Sample Paper Maths Olympiad Model Paper-2

  • question_answer
    If \[f:\left( -1,1 \right)\to R\] be a differentiable function with \[f\left( 0 \right)=-1\] and\[f'\left( 0 \right)=1\]. Let\[g(x)={{[f(2f(x)+2)]}^{2}}\]. Then g'(0) is equal to

    A)  4                                

    B)  \[-4\]

    C)  0                                

    D)  \[-2\]

    E)  None of these

    Correct Answer: B


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