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The function f(x) = (x^(2) - 1)|x^(2) - ...

The function `f(x) = (x^(2) - 1)|x^(2) - 3x + 3|+cos (|x|)` is not differentiable at

A

`-1`

B

`0`

C

`1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
`x|x|` is differentiable at `x=0`
so `(x-2)(x+2)|x-2||x-1|+cos|x|`
`(x-2)|(x-2)|` is differentiable at `x=2` so
`f(x)` is not differentiable at `x=1`
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