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

  • question_answer
    The derivative of \[F[f\{\varphi (x)\}]\] is                        [AMU 2001]

    A)            \[{F}'\,[f\,\{\varphi \,(x)\}]\]

    B)            \[F\,[f\,\{\varphi \,(x)\}\,]\,{f}'\{\varphi (x)\}\]

    C)            \[{F}'[f\,\{\varphi \,(x)\}]\,{f}'\{\varphi (x)\}\]

    D)            \[{F}'\,[f\,\{\varphi \,(x)\}]\,{f}'\{\varphi (x)\}\,{\varphi }'\,(x)\]

    Correct Answer: D

    Solution :

               \[{y}'={F}'[f\{\varphi (x)\}]\,{f}'\,\{\varphi (x)\}\,{\varphi }'(x)\].


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