Home
Class 12
MATHS
Let f(x)=e^((P+1)x)-e^(x) for real numbe...

Let `f(x)=e^((P+1)x)-e^(x)` for real number `Pgt0,` then
The value of `x=S_(p)` for which f(x) is minimum, is

A

`(-log_(e(P+1)))/(P)`

B

`-log_(e(P+1)`

C

`-log_(eP)`

D

`log_(e)((P+1)/(P))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|11 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise MAXIMA AND MINIMA EXERCISE 6|2 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then Let g(t)=int_(t)^(t+1)f(x)e^(t-x)dx. The value of t=t_(P), for which g(t) is minimum, is

Let f(x)=a^x-xlna , a>1. Then the complete set of real values of x for which f'(x)>0 is

If f(x) = x^(2) - 4 , for what real number values of x will f(f(x))= 0 ?

Let f(x)=2x+1. Then the number of real number of real values of x for which the three unequal numbers f(x),f(2x),f(4x) are in G.P. is 1 b. 2 c. 0 d. none of these

Let y=f(x) satisfies (dy)/(dx)=(x+y)/(x) and f(e)=e then the value of f(1) is

Let the function f(x) be defined as f(x) = {:{((logx-1)/(x-e) , xnee),(k , x =e):} The value of k , for which the function is continuous at x =e , is equal to

Let f(x) =e^(x), x in [0,1] , then a number c of the Largrange's mean value theorem is

If 3f(x)-f((1)/(x))= log_(e) x^(4) for x gt 0 ,then f(e^(x))=

Let f(x) = exp(x^3 +x^2+x) for any real number and let g(x) be the inverse function of f(x) then g'(e^3)

If f'(x)=f(x)+ int_(0)^(1)f(x)dx , given f(0)=1 , then the value of f(log_(e)2) is

ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-Exercise (Passage Based Questions)
  1. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  2. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  3. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  4. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  5. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  6. consider the function f(x)=(x^(2))/(x^(2)-1) The interval in which f...

    Text Solution

    |

  7. consider the function f(x)=(x^(2))/(x^(2)-1) If f is defined from R-...

    Text Solution

    |

  8. consider the function f(x)=(x^(2))/(x^(2)-1) f has

    Text Solution

    |

  9. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then The value of x=...

    Text Solution

    |

  10. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then Use the fact t...

    Text Solution

    |

  11. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then Let g(t)=int(t)...

    Text Solution

    |

  12. Consider f, g and h be three real valued function defined on R. Let f(...

    Text Solution

    |

  13. Consider f, g and h be three real valued function defined on R. Let ...

    Text Solution

    |

  14. Consider f, g and h be three real valued function defined on R. Let f(...

    Text Solution

    |

  15. Consider f,g and h be three real valued functions defined on R. Let f(...

    Text Solution

    |

  16. Consider f,g and h be three real valued functions defined on R. Let f(...

    Text Solution

    |

  17. Consider f,g and h be three real valued functions defined on R. Let f(...

    Text Solution

    |

  18. Consider f,g and h be three real valued differentiable functions defin...

    Text Solution

    |

  19. Find the intervals in which f(x)=(x-1)^3(x-2)^2 is increasing or decre...

    Text Solution

    |

  20. Consider f,g and h be three real valued differentiable functions defin...

    Text Solution

    |