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For the function f(x)=sinx+2cosx,AA"x"in...

For the function `f(x)=sinx+2cosx,AA"x"in[0,2pi]` we obtain

A

a local point of maxima at `x = alpha`, where `alpha` is in `1^(st)` quadrant

B

a local point of maxima at `x = alpha`, where `alpha` is in `3^(rd)` quadrant

C

a local point of minima at `x = alpha`, where `alpha` is in `1^(st)` quadrant

D

a local point of minima at `x = alpha`, where `alpha` is in `2^(nd)` quadrant

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The correct Answer is:
A
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