Home
Class 12
MATHS
Prove that the exponential function is s...

Prove that the exponential function is strictly increasing on R.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 6.3)|27 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 6.4)|23 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 6.1)|18 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Prove that the logarithmic function is strictly increasing on (0,oo)

Prove that the function f(x) = 10^(x) is strictly increasing on R

Prove that the function f(x)=cos x is strictly increasing in (pi,2 pi)

Show that the function f(x) = 2x+1 is strictly increasing on R.

Show that the function f(x) = e^(x) is strictly increasing on R.

Show that the function f(x)=a^(x),a>1 is strictly increasing on R.

Prove that the following functions are strictly increasing: f(x)=cot^(-1)x+x

Prove that the following functions are strictly increasing: f(x)=log(1+x)-(2x)/(2+x)

Prove that the function f(x)=[x]-x is strictly decreasing on [0,1).

Prove that the function f(x)=cos x is strictly decreasing in (0,pi)

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-NCERT - FILE (Question from NCERT Book) (Exercise 6.2)
  1. Find the intervals in which the function f given by f(x)=2x^2-3xis(a) ...

    Text Solution

    |

  2. Find the intervals in which the fucntion 'f' given by f(x)=x^(3)-3x^(2...

    Text Solution

    |

  3. Find the invervals in which the following functions are strictly incre...

    Text Solution

    |

  4. Find the invervals in which the following functions are strictly incre...

    Text Solution

    |

  5. Find the invervals in which the following functions are strictly incre...

    Text Solution

    |

  6. Find the invervals in which the following functions are strictly incre...

    Text Solution

    |

  7. Find the invervals in which the following functions are strictly incre...

    Text Solution

    |

  8. Show that y=log(1+x)-(2x)/(2+x), x >-1, is an increasing function of x...

    Text Solution

    |

  9. The functiony=5+36x+3x^(2)-2x^(3) is increasing in the interval.

    Text Solution

    |

  10. Prove that y=(4sin theta)/((2+sin theta))-theta is an increasing funct...

    Text Solution

    |

  11. Prove that the exponential function is strictly increasing on R.

    Text Solution

    |

  12. Prove that the function f given by f(x)=x^(2)-x+1 is neither strictly ...

    Text Solution

    |

  13. Which of the following functions are strictly increasing on (0, (pi)/(...

    Text Solution

    |

  14. On which of the following intervals is the function 'f' given by f(x)=...

    Text Solution

    |

  15. Find the least value of a such that the function f given by f(x)=x^2+...

    Text Solution

    |

  16. Let I be an interval disjointed from [-1,\ 1] . Prove that the functio...

    Text Solution

    |

  17. Prove that the function 'f' given by f(x)=logsinx is strictly increasi...

    Text Solution

    |

  18. Prove that the function f given by f(x)=log cos x is strictly decreasi...

    Text Solution

    |

  19. Prove that the function given by f(x)=2x^(3)-6x^(2)+7x is strictly inc...

    Text Solution

    |

  20. The interval in which y=x^(2)e^(-x) is decreasing is :

    Text Solution

    |