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KVPY Sample Paper KVPY Stream-SX Model Paper-21

  • question_answer
    The derivative of \[f\,(x)=\,|x{{|}^{3}}\] at \[x=0\] is :

    A) \[-1\]

    B) 0

    C) 1

    D) does not exist

    Correct Answer: B

    Solution :

    \[f\,(x)=\,\,|x{{|}^{3}}\]
    \[\therefore \]      \[f'\,(x)=\left\{ \begin{matrix}    3|x{{|}^{2}}\cdot \frac{x}{|x|} & x\ne 0  \\    0 & x=0  \\ \end{matrix} \right.\]


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