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BCECE Engineering BCECE Engineering Solved Paper-2014

  • question_answer
    The set of points, where the function \[f(x)=|x-1|{{e}^{x}}\]is differentiable, is

    A) R                                            

    B) \[R-\{1\}\]

    C) \[R-\{-1\}\]                        

    D) \[R-\{0\}\]

    Correct Answer: B

    Solution :

    Given, \[f(x)=\left| x-1 \right|{{e}^{x}}\] Since, \[\left| x-1 \right|\] is not differentiable at \[x=1\] So, \[f(x)=\left| x-1 \right|{{e}^{x}}\] is not differentiable at \[x=1\]. Hence, the required set is \[R-\{1\}.\]


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