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Consider the following for the next two ...

Consider the following for the next two items that follows
`f(x)={{:(x+pi" for "x in[-pi.0)),(picosx" for "x in[0.(pi)/(2)]),((x-(pi)/(2))^(2)" for "x in((pi)/(2).pi]):}`
Consider the following statement:
1. The function f(x) is differentiable at x = 0.
2. The function f(x) is differentiable at `x=(pi)/(2)`
Which of the above statements is / are correct?

A

Only 1

B

Only 2

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
D
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