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If f(x)=(x^2-1)/(x^2+1) . For every real...

If `f(x)=(x^2-1)/(x^2+1)` . For every real number `x ,` then the minimum value of `fdot` (a) does not exist because `f` is unbounded (b) is not attained even through `f` is bounded (c) is equal to 1 (d) is equal to `-1`

A

does not exits because f is unbounded

B

is not attained even though f is bounded

C

is equal to 1

D

is equal to -1

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Chapter Test
  1. The maximum value of the function f(x) given by f(x)=x(x-1)^2,0ltxlt...

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  2. The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a has ...

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  3. The minimum value of f(x)=e^((x^4-x^3+x^2)) is

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  4. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

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  5. Find the maximum value of 4sin^(2)x+3cos^(2)x+sin""(x)/(2)+cos""(x)/(2...

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

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

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

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

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  10. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

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

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  12. Write the maximum value of f(x)=(logx)/x , if it exists.

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

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

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  15. On [1,e] the greatest value of x^2logex, is

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  16. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

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  17. If f:R to 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),x >0 is e^(1/e) (b) (1/e)^e (c) 1 (d) non...

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

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