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If f(x) = {{:([cos pi x]",",x le 1),(2{x...

If `f(x) = {{:([cos pi x]",",x le 1),(2{x}-1",",x gt 1):}`, where [.] and {.} denotes greatest integer and fractional part of x, then
a. `f'(1^(-)) = 2`
b. `f'(1^(+)) = 2`
c. `f'(1^(-)) = -2`
d. `f'(1^(+)) = 0`

A

`f'(1^(-)) = 2`

B

`f'(1^(+)) = 2`

C

`f'(1^(-)) = -2`

D

`f'(1^(+)) = 0`

Text Solution

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The correct Answer is:
B
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