2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Differentiation

JEE Main & Advanced Mathematics Differentiation Question Bank Differentiation of implicit function Parametric

  • question_answer
    If\[f(x)=\frac{1}{1-x}\], then the derivative of the composite function \[f[f\{f(x)\}]\] is equal to                                   [Orissa JEE 2003]

    A)            0

    B)            \[\frac{1}{2}\]

    C)            1

    D)            2

    Correct Answer: C

    Solution :

               \[f(x)=\frac{1}{1-x}\]Þ\[f\{f(x)\}=\frac{1-x}{-x}\]            \[\Rightarrow \]\[f[f\{f(x)\}]=\frac{-x}{-x-1+x}=x\]            \[\therefore \] Derivative of \[f[f\{f(x)\}]=1\].


You need to login to perform this action.
You will be redirected in 3 sec spinner