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Q.

The function  fx=x2−1x2−3x+2+cosxis not differentiable at

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a

2 

b

-1

c

0

d

1

answer is D.

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Detailed Solution

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f(x)= x 2 −1 x 2 −3x+2 +cos(|x|)=(x−1)(x+1)|(x−1)(x−2)|+cos|x|
(x−1)|x−1| and cos x  are differentiable for all x.  But |x-2| is non-differentiable at x = 2.
 
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