UPSC NDA I 2016 Mathematics Solved Paper

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For the next two (2) items that follow :
A function f(x) is defined as follows:
f(x)={
x+πforx∊[−π,0)
π‌cos‌xforx∊[0,
Ï€
2
]
(x−
Ï€
2
)
2
forx∊(
Ï€
2
,Ï€
]
[NDA I 2016]
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Question : 55 of 120
 
Marks: +1, -0
Consider the following statements
1.The function f(x) is differentiable at x=0.
2. The function f(x) is differentiable at x=
Ï€
2
.
Which of the above statements is/are correct?
[NDA I 2016]
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