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The least value of the f(x) given by f...

The least value of the f(x) given by
`f(x)=tan^(-1)x-1/2 log_ex " in the interval "[1//sqrt3,sqrt3]` , is

A

`pi/6+1/4 log_e3`

B

`pi/3-1/4log_e3`

C

`pi/6-1/4log_e3`

D

`pi/3+1/4log_e3`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-MAXIMA AND MINIMA -Chapter Test
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  2. The minimum value of f(x)=e^((x^4-x^3+x^2)) is

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  3. If the function f(x)=a/x+x^2 has a maximum at x=-3 then a=

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  4. Find the maximum value of 4sin^2x+3cos^2+sinx/2+cosx/2dot

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  5. The least value of the f(x) given by f(x)=tan^(-1)x-1/2 logex " in t...

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  6. The slope of the tangent to the curve y=e^x cosx is minimum at x= a,0 ...

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  7. The value of a for which the function f(x)={{:(tan^(-1)a -3x^2" , " ...

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  8. The minimum value of 27^(cos3x)81^(sin3x) is

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  9. If f(x)=(x^2-1)/(x^2+1) , for every real x , then the maximum value o...

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  10. f(x) = |x|+|x-1| +|x-2|, then which one of the following is not correc...

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  11. The maximum value of f(x)=(logx)/(x)(x ne 0, x ne1) is

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  12. The function f(x)=2x^(3)-3x^(2)-12x-4 has

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  13. In (-4,4) the function f(x)=int(-10)^x (t^2-4)e^(-4t) dt , has

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  14. On [1,e] the gratest value of x^2logex, is

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  15. Let f(x)={x+2,-1lelt0 1,x=0 (x)/(2),0ltxle1

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  16. If f(x)=(x^2-1)/(x^2+1) , for every real x , then the maximum value o...

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  17. The function f:R rarr R be defined by f(x)=2x+cosx then f

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  18. The maximum distance from origin of a point on the curve x=asint-bsin(...

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

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  20. The perimeter of a sector is a constant. If its area is to be maximum,...

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