Limit Continuity and Differentiability 7 Question 22

22. The function f(x)=(x21)|x23x+2|+cos(|x|) is not differentiable at

(1999,2M)

(a) -1

(b) 0

(c) 1

(d) 2

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Answer:

Correct Answer: 22. (b,c,d)

Solution:

  1. Given, f(x)=x|x|

f(x)=x2, if x0x2, if x<0

f(x) is not differentiable at x=0 but all R0.

Therefore, f(x)=2x,x>0 2x,x<0

Therefore, f(x) is twice differentiable for all xR0.



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