JEE Main & Advanced JEE Main Paper (Held On 26 May 2012)

  • question_answer
    If\[f(x)=a|\sin x|+b{{e}^{|x|}}+c|x{{|}^{3}},\] where \[a,b,c\in R\], is differentiable at x = 0, then.   JEE Main Online Paper (Held On 26-May-2012)  

    A) \[a=0,b\]and c are any real numbers

    B)                        \[c=0,a=0,b\] is any real number

    C)                        \[b=0,c=0,a\] is any real number

    D)                        \[a=0,b=0,c\] is any real number

    Correct Answer: D

    Solution :

                    \[|\sin x|\]and \[{{e}^{|x|}}\] are not differentiable at x = 0 and |x|3 is differentiable at x = 0. \[\therefore \]for f(x) to be differentiable at x = 0, we must have a = 0, b = 0 and c is any real number.


You need to login to perform this action.
You will be redirected in 3 sec spinner