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For f(x) = sqrt3 sin x + 3 cos x, the po...

For `f(x) = sqrt3 sin x + 3 cos x`, the point `x = pi/6` is

A

local minimum

B

local maximum

C

point of inflextion

D

none of these

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. f(x)=x^(x) has a stationary point at :

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  2. The maximum value of (1/x)^(x) is

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  3. For f(x) = sqrt3 sin x + 3 cos x, the point x = pi/6 is

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  4. The maximum value of (logx)/(x) in (2,oo) is

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  5. The maximum value of sinx+cosx is :

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  6. The maximum value of (1/x)^(x) is

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  7. The point on the curve y^(2) = 4x which is nearest to the point (2,1) ...

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  8. The function f(x) = 2x^(3) -15x^(2) + 36x + 4 is maximum at

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  9. The perimeter of a sector is p. the area of the sector is maximum when...

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  10. Let the function f:RtoR be defined by f(x)=2x+cosx. Then f

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  11. The maximum of 4 sin^(2)x + 3 cos^(2)x is

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  12. The maximum of the function 3 cos x - 4 sinx is

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  13. A population p(t) of 1000 bacteria introduced into nutrient medium gro...

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  14. A circular sector of perimeter 60 metre with maximum area is to be con...

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  15. The range in which y = - x^(2) + 6x -3 is increasing is

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  16. The function f(x)=cot^(-1)x +x increases in the interval :

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  17. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :

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  18. The real number x when added to its inverse gives the minimum value of...

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  19. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...

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  20. The function f(x)=(x)/(2)+(2)/(x) has a local minimum at :

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