Home
Class 11
MATHS
f(x)=ae^x+be^(-x)(abgt0) has maximum val...

`f(x)=ae^x+be^(-x)(abgt0)` has maximum value when

A

`alt0`

B

a=0

C

`agt0`

D

bgt0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-II|88 Videos

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

Given : f(x)=x^((1)/(x)),(xgt0) has the maximum value at x=e , then

Show that xe^(-x) has maximum value at x = 1

The maximum value of x^(-x) is

If f(x) =x-k/x has a maximum value at x=-2 , then k=

f(x) = sin ^m x cos ^nx has maximum value at x=

Show that f(x) = sin^(m)x. cos^(n)x has maximum value at x = Tan^(-1) sqrt((m)/(n)) (m, n gt 0) .

AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-III
  1. The function f(x)=(x-1)^2+(x-2)^2+(x-3)^2+……+(x-9)^2 has minimum value...

    Text Solution

    |

  2. The maximum hight of the curve y=6cosx-8sinx above the x-axis

    Text Solution

    |

  3. f(x)=ae^x+be^(-x)(abgt0) has maximum value when

    Text Solution

    |

  4. Find the point on the curve y^2=4x which is nearst to the point (2,1)

    Text Solution

    |

  5. Observe the following statements : List-I: (A) If x+y=k then x^2+y^...

    Text Solution

    |

  6. Statement-I : The maximum value of (logx)/x" in "0ltxltoo" is "2/e S...

    Text Solution

    |

  7. Statement-I : f(x)=sqrt3sinx+cosx has a greatest value when x=pi/6 S...

    Text Solution

    |

  8. The perimeter of a sector is 24 cm. Its maximum area in sq.cm is

    Text Solution

    |

  9. The triangle of maximum area that can be inscribed in a circle is

    Text Solution

    |

  10. ABCD is rectangle in which AB= 9cm , BC =6 cm . P is a point in CD suc...

    Text Solution

    |

  11. A straight line through the fixed point (3,4) cuts the coordinate axes...

    Text Solution

    |

  12. If a triangle of maximum area is inscribed in a circle of radius 30cm ...

    Text Solution

    |

  13. Let f(x) be any function. Observe the following lists {:("List-I","L...

    Text Solution

    |

  14. Assertion (A) : The maximum area of rectangle inscribed in a circle of...

    Text Solution

    |

  15. Assertion (A) : The maximum value of log(1//3)(x^2-4x+5) is 0 Reason...

    Text Solution

    |

  16. The condition that f(x) =ax^3+bx^2+cx+d has no extreme value is

    Text Solution

    |

  17. The function f(x) =Cot^(-1)x+x increasing in the interval

    Text Solution

    |

  18. A function is matched below agnaist an interval where it is supposed t...

    Text Solution

    |

  19. The value of a for which the sum of the squares of the roots ...

    Text Solution

    |

  20. Area of the largest rectangle that can be inscribed in the ellipse (x^...

    Text Solution

    |