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Examine the differentiability of f, ...

Examine the differentiability of f, where f is defined by `f(x)={{:(1+x, if x le 2),(5-x,ifx gt 2):}` at `x = 2`.

A

does not exist

B

3

C

`-1`

D

1

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Examine the differentiability of f , where f is defined by f(x) = {{:(x[x],if0lexlt2),((x-1)x,if2lexlt3):} at x = 2

    A
    Not differentiable at `x = 2`
    B
    Differentiable at `x = 2`
    C
    None of these
    D
    Can not say

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