Home
Class 12
MATHS
Show that f(x)=(x-1)e^x+1 is an increasi...

Show that `f(x)=(x-1)e^x+1` is an increasing function for all `x > 0.`

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

Show that f(x)=x^9+4x^7+11 is an increasing function for all x in R .

Show that f(x)=x^3-15 x^2+75 x-50 is an increasing function for all x in R .

Show that f(x)=x^3-15 x^2+75 x-50 is an increasing function for all x in R

Show that f(x)=x^9+4x^7+11 is an increasing function for all x inRdot

Show that f(x)=e^(1/x),x!=0 is decreasing function for all x!=0.

Show that f(x)=e^(1//x),\ \ x!=0 is a decreasing function for all x!=0 .

Show that f(x)=x+cosx-a is an increasing function on R for all values of a .

Show that f(x)=1/x is a decreasing function on (0,\ oo) .

Show that f(x)=1/x is decreasing function on (0,oo)dot

Show that the function f(x) = (x - 1) e^(x)+2 is strictly increasing function forall x gt 0 .

RD SHARMA ENGLISH-INCREASING AND DECREASING FUNCTION -All Questions
  1. Show that f(x)=(x-1)e^x+1 is an increasing function for all x > 0.

    Text Solution

    |

  2. Find the intervals in which f(x) is increasing or decreasing: (1). f(...

    Text Solution

    |

  3. Show that f(x)=x^3-15 x^2+75 x-50 is an increasing function for all x...

    Text Solution

    |

  4. Show that f(x)=cos^2x is decreasing function on (0,pi/2)dot

    Text Solution

    |

  5. Show that f(x)=x^2-xsinx is an increasing function on (0,pi/2)dot

    Text Solution

    |

  6. Show that f(x)=cosx is decreasing function on (0,pi), increasing in (-...

    Text Solution

    |

  7. Show that f(x)=tan^(-1)(sinx+cosx) is decreasing function on the inter...

    Text Solution

    |

  8. Show that function f(x)=sin(2x+pi/4) is decreasing on ((3pi)/8,(5pi)/8...

    Text Solution

    |

  9. Show that f(x)=x-sinx is increasing for all x in R

    Text Solution

    |

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

    Text Solution

    |

  11. Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi...

    Text Solution

    |

  12. Determine the values of x for which the function f(x)=x^2-6x+9 is incr...

    Text Solution

    |

  13. Find the intervals in which the following function are increasing or ...

    Text Solution

    |

  14. Show that f(x)=e^(1/x),x!=0 is decreasing function for all x!=0.

    Text Solution

    |

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

    Text Solution

    |

  16. Show that f(x)=x^9+4x^7+11 is an increasing function for all x inRdot

    Text Solution

    |

  17. State when a function f(x) is said to be increasing on an interval [a ...

    Text Solution

    |

  18. Determine whether f(x)=-x//2+sinx is increasing or decreasing on (-pi/...

    Text Solution

    |

  19. Show that f(x)=tan^(-1)x-x is decreasing function on Rdot

    Text Solution

    |

  20. Find the intervals in which f(x)=(x+2)e^(-x) is increasing or decreas...

    Text Solution

    |