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For what values of a , the function f(x)...

For what values of `a ,` the function `f(x)={((sqrt(a+4))/(1-a))x^5-3x+"log"(5)` decreases for all real `xdot`

A

`(oo,oo)`

B

`[-4,(3-sqrt(21))/(2)]cup [1,oo)`

C

`(-3,5 -(sqrt(27))/(2))cup (2,oo)(d)[1,oo)`

D

`(1,oo)`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTIONS-Exercise
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  2. The value of b for which the function f(x)=sin x-bx+c is decreasing in...

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

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

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  5. On which of the following intervals is the function f(x)=x^(100)+sinx-...

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

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  7. Let f'(x)=f(x)(x-a)^(2), where g(a) ne 0 and g is continuous at x=a t...

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  8. Show that f(x) = 2x+cot^(-1)x+ log(sqrt(1+x^(2))-x) is increasing in R...

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

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

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

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

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  13. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

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  14. Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decr...

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

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

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

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

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

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  20. Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...

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