Maxima and MinimaHard
Question
The number of values of x where the function f(x) = 2(cos3x + cos √3 x) attains its maximum, is -
Options
A.1
B.2
C.0
D.infinite
Solution
f(x) = 2(cos 3x + cos √ 3x)
= 4 cos
x. cos 
x ≤ 4
and it is equal to 4 when both
cos
x and cos 
x are equal to 1
for a value of x.
This is possible only, when x = 0.
f(x) = 2(cos 3x + cos √ 3x)
= 4 cos x. cos x ≤ 4
and it is equal to 4 when both
cosx and cos x are equal to 1
for a value of x.
This is possible only, when x = 0.
= 4 cos
x. cos x ≤ 4and it is equal to 4 when both
cos
x and cos x are equal to 1 for a value of x.
This is possible only, when x = 0.
f(x) = 2(cos 3x + cos √ 3x)
= 4 cos
x. cos x ≤ 4and it is equal to 4 when both
cos
x and cos x are equal to 1 for a value of x.
This is possible only, when x = 0.
Create a free account to view solution
View Solution FreeMore Maxima and Minima Questions
The function has no maxima or minima if -...The maximum value of sin x cos x is-...If xy = a2 and S = b2x + c2y where a, b and c are constants then the minimum value of S is -...Function x - sin x has-...Let P(x) = a0 + a1x2 + a2x4 + ...... + anx2n be a polynomial in a real variable x with 0 < a0 < a1 < a2 < .....