Home
Class 12
MATHS
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-sqrt21)/(2)] cup (1,oo)`

C

`[-3, (5-sqrt27)/(2)] cup (2,oo)`

D

`(1,oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|36 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -1|102 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

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

Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreasing for all real values of xdot

Find the values ' a ' for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreases for all real values of x .

The function f(x)=sin(log(x+ sqrt(x^2+1))) ​

The function f(x)=cos(log(x+sqrt(x^2+1))) is :

Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decreases montonically for all real xdot

Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreases for all real values of xdot

Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreases for all real values of xdot

Find the values of x which the function f(x)=sqrt(log_(1//2)((x-1)/(x+5)) is defined.

The value of p so that the function f(x) i= sin x - cos x - px + q decreases for all real values of x is given by

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -2
  1. If f(x)=int 2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2)))dx, then f is

    Text Solution

    |

  2. The function f(x)=(log(pi+x))/(log(e+x))s is

    Text Solution

    |

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

    Text Solution

    |

  4. If the function g:(-oo,oo)rarr(-(pi)/(2),(pi)/(2)) is given by g(u)=...

    Text Solution

    |

  5. If f(x) =x^(3)+bx^(2)+cx+d and 0lt b^(2)ltc then in (-oo,oo)

    Text Solution

    |

  6. Let f(x) be a non-constant twice differentiable function defined on (-...

    Text Solution

    |

  7. f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log(e)x). ...

    Text Solution

    |

  8. f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log(e)x). ...

    Text Solution

    |

  9. f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log(e)x). ...

    Text Solution

    |

  10. Given a function f:[0,4]toR is differentiable ,then prove that for som...

    Text Solution

    |

  11. With the help of Lagrange's formula, prove that (a-b)/(a) le log (a/b)...

    Text Solution

    |

  12. The function f(x)=int(0)^(x)sqrt(1-t^(4)) dt is such that

    Text Solution

    |

  13. The function (sin(x+a))/(sin(x+b)) has no maxima or minima if

    Text Solution

    |

  14. The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^...

    Text Solution

    |

  15. If f(x) is a cubic polynomial which has local maximum at x=-1,If f(2...

    Text Solution

    |

  16. If f(x) is a polynomial of degree 4 having extremum at x=1,2 and lim(x...

    Text Solution

    |

  17. The maximum value of the function f(x)=3x^(3)-18x^(2)+27x-40 on the s...

    Text Solution

    |

  18. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

    Text Solution

    |

  19. Let p(x) be a real polynomial of least degree which has a local maximu...

    Text Solution

    |

  20. The equation x^3-3x+[a]=0, where [*] denotes the greatest integer func...

    Text Solution

    |