NDA Math Limit, Continuity and Differentiability

For the next three (03) items that follow:
Let f(x) be a function in 1≤x<∞ by

f(x)={

2−x	for	1≤x≤2
3x−x2	for	x>2

[NDA I 2014]

Question : 101 of 105

Marks: +1, -0

Consider the following statements:
1. f′(2+0) does not exist.
2. f′(2−0) does not exist.
Which of the above statements is/are correct?

[NDA I 2014]

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