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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:
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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