Home
Class 12
MATHS
The function f(x)=(log (pi+x))/(log (e+x...

The function `f(x)=(log (pi+x))/(log (e+x))," is "`

A

increasing on `(0,oo)`

B

decreasing on `(0,oo)`

C

increasing on `(0,pi//e), decreasing on (pi//e,oo)`

D

decreasing on `(0,pi//e)," increasing on"(pi//e,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 JEE Main (Archive)|36 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

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

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

The function f(x)=(ln(pi+x))/(ln(e+x)) is

The interval of monotonicity of the function f(x)=(x)/(log_(e)x), is

Find the interval of the monotonicity of the function f(x)= log_(e)((log_(e)x)/(x))

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

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

The function f(x) = sec[log(x + sqrt(1+x^2))] is

The function f(x) = sec[log(x + sqrt(1+x^2))] is

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

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Advanced (Archive)
  1. The function f(x)=sin^4x+cos^4x increasing if 0<x<pi/8 (b) pi/4<x<(3p...

    Text Solution

    |

  2. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

    Text Solution

    |

  3. The function f(x)=(log (pi+x))/(log (e+x))," is "

    Text Solution

    |

  4. Let fa n dg be increasing and decreasing functions, respectively, from...

    Text Solution

    |

  5. Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^(t+(1)...

    Text Solution

    |

  6. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real number xdot Then (a) h ...

    Text Solution

    |

  7. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

    Text Solution

    |

  8. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

    Text Solution

    |

  9. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  10. The total number of local maxima and local minima of the function f...

    Text Solution

    |

  11. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

    Text Solution

    |

  12. The maximum value of (cos alpha(1))(cos alpha(2))... ( cos alpha(n)) u...

    Text Solution

    |

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

    Text Solution

    |

  14. If f(x)=a(0)+a(1)x^(2)+a(2)x^(4)+...+ a(n)x^(2n) be a polynomial where...

    Text Solution

    |

  15. The funciton f(X) =2|x|+|x+2|-||x+2|-|x|| has a local mimimum or a lo...

    Text Solution

    |

  16. A rectangular sheet of fixed perimeter with sides having their lengths...

    Text Solution

    |

  17. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

    Text Solution

    |

  18. f(x) is cubic polynomial with f(x)=18a n df(1)=-1 . Also f(x) has loca...

    Text Solution

    |

  19. The function f(x)=int(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local ...

    Text Solution

    |

  20. If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt...

    Text Solution

    |