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is The function f(x)=(x^2-1)|x^2-3x+2|+c...

is The function `f(x)=(x^2-1)|x^2-3x+2|+cos(|x|)` is differentiable not differentiable at (a)-1 (b)0 (c)1 (d)2

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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