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CGP EDU Academic Team
Published on: August 12, 2026
For the function f(x) = sin x + 2 cos x, 
, we obtain
A
a local point of maxima at x = 
, where 
is in 1 st quadrant
, where is in 1 st quadrant
B
a local point of maxima at x = 
, where 
is in 3 rd quadrant
, where is in 3 rd quadrant
C
a local point of minima at x = 
, where 
is in 1 st quadrant
, where is in 1 st quadrant
D
a local point of minima at x = 
, where a is in 2 nd quadrant
, where a is in 2 nd quadrant
Text Solution
Verified by ExpertsThe correct answer is:
A
a local point of maxima at x = 
, where 
is in 1 st quadrant
f (x) = sin x + 2 cos x, 
f’(x) = cos x - 2 sin x
f (x) changes its sign from positive to negative at 
So at this point, local maxima occurs
f (x) changes its sign from negative to positive at 
So at this point, local minima occurs
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