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JEE Main & Advanced Mathematics Differentiation Question Bank Derivative at a point Standard Differentiation

  • question_answer
    The derivative of \[f(x)=3|2+x|\] at the point \[{{x}_{0}}=-3\] is                                                               [Orissa JEE 2002]

    A)            3

    B)            ? 3

    C)            0

    D)            Does not exist

    Correct Answer: B

    Solution :

               \[f(x)=3|2+x|\];  \[{f}'(x)=-3\]  ,      \[\left[ \because \,|x|=\left\{ \begin{matrix}    -x,\,x<0  \\    x,\,x>0  \\ \end{matrix} \right. \right]\].


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