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Which of the following functions is diff...

Which of the following functions is differentiable at x = 0 ?

A

`cos (|x|) + |x|`

B

`cos (|x|) - |x|`

C

`sin (|x|) + |x|`

D

`sin (|x|) - |x|`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Which of the following function is differentiable at x=0 ?

    A
    cos(|x|)+|x|
    B
    cos(|x|)-|x|
    C
    sin(|x|)+|x|
    D
    sin(|x|)-|x|

  • Which of the following function is not differentiable at x=1?

    A
    `f(x) =(x^(2)-1)|(x-1)(x-2)|`
    B
    `f(x) = sin (|x-1|)-|x-1|`
    C
    `f(x) = tan (|x-1|)+|x-1|`
    D
    none of these

  • Which of the following functions is not differentiable at x=1?

    A
    `f(x)=(x^(2)-1)|(x-1)(x-2)|`
    B
    f(x)=sin(|x-1|)-|x-1|
    C
    f(x)=tan(|x-1|)+|x-1|
    D
    None of these

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    Which one of the following functions is differentiable for all real values of x?

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