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JEE Main & Advanced Mathematics Differentiation Question Bank Differentiation by Substitution

  • question_answer
    If\[f(x)=x+2,\] then \[f'(f(x))\] at x = 4 is                [DCE 2001]

    A)            8

    B)            1

    C)            4

    D)            5

    Correct Answer: B

    Solution :

               \[f(x)=x+2\] Þ \[{f}'(x)=1\]            \ \[{f}'(f(x))={f}'(x+2)=1\] at \[x=4\].


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