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Let f(x)=int0^x (cost)/tdt Then at x=(2n...

Let `f(x)=int_0^x (cost)/tdt` Then at `x=(2n+1)pi/2` f(x) has

A

maxima when n=-2,-4,-6,.. and minima when n=-1,3,-5,..

B

minima when n=-1,-3,-5,… and minima when n=1,3,5,…

C

minima when n=0,2,4,… and maxima when n=1,3,5,…

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-MAXIMA AND MINIMA -Exercise
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  3. Let f(x)=int0^x (cost)/tdt Then at x=(2n+1)pi/2 f(x) has

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  5. The minimum value of (1+1/(sin^nalpha))(1+1/(cos^nalpha)) is

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  6. The minimum value of (x-a)(x-b) is

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  7. The attitude of a right circular cone of minimum volume circumscired a...

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  8. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

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  9. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

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  10. The maximum and minimum values of y=(ax^2+2bx+c)/(Ax^2+2Bx+C) are thes...

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  11. In a A B C ,/B=90^0a n db+a=4. The area of the triangle is maximum wh...

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  12. The function f(x) given by f(x)=|{:(x-1", "x+1", "2x+1),(x+1", ...

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  13. Maximum area of a reactangle which can be inscribed in a circle of a...

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  14. f(x)={{:(3x^(2)+12x-1,-1lexle2),(37-x",",2ltxle3):} Which of the fol...

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

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  16. If a^(2)x^(4) + b^(2)y^(4)=c^(6), then maximum value of xy is

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  17. The function int(-1)^(1)t(e^t-1)(t-1)(t-2)^3(t-3)^tdt has local mini...

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  18. Let f(x) be a function such that f'(a) ne 0 . Then , at x=a, f(x)

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  19. Let a,b,c be positive real parameter and ax^3+ b/x^2gec, AA xepsilonR ...

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  20. If xy=a^2 and S = b^2x + c^2y where a, b and c are constants then the ...

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