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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:
A, B, C
`cos(|x|)=cosx`
`(x^(2)-1)|x^(2)-3x+2|=(x-1)|x-1|.(x+1)|x-2|`
The only point where f is not differentiable is `x=2`
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