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Is the function f(x) = |x| differentiabl...

Is the function `f(x) = |x|` differentiable at the origin. Justify your answer.

Text Solution

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The correct Answer is:
`R f'(0) ne L f'(0) therefore f(x)` is not differentiable at `x=0`
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Knowledge Check

  • f(x)=(x)/(1+|x|) then f is differentiable at

    A
    every where
    B
    except at x=`pm1`
    C
    except at x=0
    D
    except at x=0, or `pm1`

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