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KVPY Sample Paper KVPY Stream-SX Model Paper-4

  • question_answer
    The derivative of \[f(x)={{\left| x \right|}^{3}}\] and x=0 is -

    A) \[-1\]                            

    B) 0

    C) 1                                 

    D) does not exist    

    Correct Answer: B

    Solution :

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


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