Among the given functions, the one which is non-differentiable is .

f (x) = c o s x

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f (x) = x^{2} - 5

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f (x) = | x |

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f (x) = x

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Solution

The correct option is C $f (x) = | x |$
The modulus function is not differentiable at x=0 since the left hand derivative is -1 and right hand derivative is 1. All the other given functions are always differentiable.

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