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The function f(x) = 1 + x (sin x) [cos x...

The function `f(x) = 1 + x (sin x) [cos x], 0 lt x le (pi)/(2)` (where [.] is G.I.F.)

A

is continuous on `(0, (pi)/(2))`

B

is strictly increasing in `(0, (pi)/(2))`

C

is strictly decreasing in `(0, (pi)/(2))`

D

has global maximum value 2

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The correct Answer is:
A
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