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The value of b for which the function f(...

The value of b for which the function f(x)=sin x-bx+c is decreasing in the interval `(-oo,oo)` is given by

A

`b lt 1`

B

`b ge 1`

C

`b gt 1`

D

`b le 1 `

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-INCREASING AND DECREASING FUNCTIONS-Exercise
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  2. The function f(x)=cos(pi/x),(x != 0) is increasing in the interval

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  3. The value of b for which the function f(x)=sin x-bx+c is decreasing in...

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  4. For what values of a , the function f(x)={((sqrt(a+4))/(1-a))x^5-3x+"l...

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  5. Find the least value of ' a ' such that the function f(x)=x^2+a x+1 is...

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  6. On which of the following intervals is the function f given by f(x)=x...

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  7. Which of the following functions is not decreasing on (0,pi//2)?

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  8. If f'(x) = g(x) (x-a)^2, where g(a) != 0 and g is continuous at x = a,...

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  9. If f(x)=2 x cot ^(-1)x + log (sqrt(1+x^2)-x then f(x)

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  10. The function f(x)=log (1+x)-(2+x) is increasing in

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  11. On which of the following intervals in the function f(x)=2x^2-log|x|,x...

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  12. If the function f(x)=(Ksinx+2cosx)/(sinx+cosx) is strictly increasing ...

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  13. The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

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  14. If f(x)= kx^3-9x^2+9x+3 is increasing on R then

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  15. The values of a for which the function (a+2)x^3 - 3x^2 + 9ax-1 decreas...

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  16. The function y=x^3-3x^2+6x-17

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  17. The interval in which the function x^3 increases less rapidly than 6x^...

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  18. The interval in which the function f(x)=sin x-cos x -ax +b decreases f...

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  19. The function y=cot^(-1) x- log (x+sqrt(x^2+1)) is increasing in

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  20. the function (|x-1|)/x^2 is monotonically decreasing at the point

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