Home
Class 12
MATHS
What are the values of ' a ' for which f...

What are the values of `' a '` for which `f(x)=a^x` is increasing on `R`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos
  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos

Similar Questions

Explore conceptually related problems

What are the values of ' a ' for which f(x)=a^x is decreasing on R

Write the set of values of ' a ' for which f(x)=(log)_a x is increasing in its domain.

Find the set of values of ' a ' for which f(x)=x+cosx+a x+b is increasing on R .

Write the set of values of k for which f(x)=k x-sinx is increasing on R .

Find ' a ' for which f(x)=a\ (x+sinx)+a is increasing on R .

Determine the values of x for which f(x)=x^x , x >0 is increasing or decreasing.

Determine the values of x for which f(x)=x^x ,\ x >0 is increasing or decreasing.

Find the value(s) of a for which f(x)=x^3-a x is an increasing function on R .

Find the values of k for which f(x)=k x^3-9k x^2+9x+3 is increasing on R .

Show that f(x)=e^(2x) is increasing on R .

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Find the intervals in which f(x)=sinx+|sinx| is increasing or decreasi...

    Text Solution

    |

  2. Find the derivative of x^sinx with respect to x

    Text Solution

    |

  3. What are the values of ' a ' for which f(x)=a^x is increasing on R

    Text Solution

    |

  4. What are the values of ' a ' for which f(x)=a^x is decreasing on R

    Text Solution

    |

  5. Write the set of values of ' a ' for which f(x)=(log)a x is increasing...

    Text Solution

    |

  6. Write the set of values of ' a ' for which f(x)=(log)a x is decreasing...

    Text Solution

    |

  7. Find ' a ' for which f(x)=a\ (x+sinx)+a is increasing on R .

    Text Solution

    |

  8. Find the values of ' a ' for which the function f(x)=sinx-a x+4 is inc...

    Text Solution

    |

  9. Find the set of values of ' b ' for which f(x)=b(x+cosx)+4 is decreasi...

    Text Solution

    |

  10. Find the set of values of ' a ' for which f(x)=x+cosx+a x+b is increas...

    Text Solution

    |

  11. Write the set of values of k for which f(x)=k x-sinx is increasing on ...

    Text Solution

    |

  12. If g(x) is a decreasing function on R and f(x)=tan^(-1){g(x)} . State ...

    Text Solution

    |

  13. Write the set of values of a for which the function f(x)=a x+b is decr...

    Text Solution

    |

  14. Write the interval in which f(x)=sinx+cosx ,\ \ x in [0,\ pi//2] is in...

    Text Solution

    |

  15. State whether f(x)=tanx-x is increasing or decreasing its domain.

    Text Solution

    |

  16. Write the set of values of a for which f(x)=cosx+a^2\ x+b is strictly ...

    Text Solution

    |

  17. The interval of increase of the function f(x)=x-e^x+tan(2pi//7) is (a)...

    Text Solution

    |

  18. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

    Text Solution

    |

  19. The function f(x)=x^x decreases on the interval (a) (0,\ e) (b) (0,\ ...

    Text Solution

    |

  20. The function f(x)=2log(x-2)-x^2+4x+1 increases on the interval (a) (1,...

    Text Solution

    |