Home
Class 12
MATHS
The interval in which the function f(x)=...

The interval in which the function `f(x)=x^(e^(2-x))` increases is

A

`(-oo,0)`

B

`(2,oo)`

C

`(0,2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos

  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|8 Videos

  • HEIGHTS AND DISTANCES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|45 Videos

  • INDEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which the function f(x)=x^4-(x^3)/3 is increasing or decreasing.

Find the intervals in which the function f(x)=x^4-(x^3)/3 is increasing or decreasing.

The interval in which the function f(x)=x^(2)-4x+6 is strictly increasing is

The interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing is (a) ( -oo , oo ) (b) ( -oo , 0 ) (c) ( 2 , oo ) (d) ( 0 , 2 )

The function f(x) = x^(2) e^(-x) strictly increases on

Find the interval where the function f(x) 10 -x^3+6x^2-9x increases with x.

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

Find the intervals in which the function f(x)=2x^3-9x^2+12 x+15 is increasing and decreasing.

Find the intervals in which the function f(x)=2x^3+9x^2+12 x+20 is increasing and decreasing.

OBJECTIVE RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTIONS-Exercise
  1. If f is an increasing function and g is a decreasing function on an in...

    Text Solution

    |

  2. Let y=x^2 e^(-x) then the interval in which y increases with respect t...

    Text Solution

    |

  3. The interval in which the function f(x)=x^(e^(2-x)) increases is

    Text Solution

    |

  4. The function f(x)=cos(pi/x),(x != 0) is increasing in the interval

    Text Solution

    |

  5. The value of b for which the function f(x)=sin x-bx+c is decreasing in...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |