Home
Class 12
MATHS
Show that the following functins are str...

Show that the following functins are strictly increasing on R:
(a) `f(x)=3x+17`
(b) (i) `f(x)=e^(x)`
(ii) `f(x)=e^(2x)`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (b) (Long Answer Type Questions (I))|30 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (b) (Long Answer Type Questions (II))|1 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (a) (Long Answer Type Questions (II))|1 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Show that the function given by f(x)=7x-3 is strictly increasing on R .

Show that the function given by f(x)=e^(2x) is strictly increasing on R

Show that the function given by f(x)=3x+17 is strictly increasing on R .

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

Show that the function f(x)=2x+3 is strictly increasing function on R.

Show that f(x) = 3x + 5 is a strictly increasing function on R

f(x) is a strictly increasing function, if f'(x) is :

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (b) (Short Answer Type Questions)
  1. Show that the following functins are strictly increasing on R: (a) f...

    Text Solution

    |

  2. Without using the derivative, show that the function f(x)=|x| is (a) s...

    Text Solution

    |

  3. Show that the function f given by f(x)=x^3-3x^2+4x ,x in Ris strictl...

    Text Solution

    |

  4. Prove the following (i) f(x)=x^(2) is a decreasing function for x lt...

    Text Solution

    |

  5. Prove the following f(x)=x^(2)-8x, x le 4 is a decreasing function

    Text Solution

    |

  6. Prove that the function f(x)=x^3-3x^2+3x-100 is increasing on R .

    Text Solution

    |

  7. Prove that the function given by f(x) = cos x is (a) strictly decrea...

    Text Solution

    |

  8. Prove the following (i) f(x)=sinx is : (I) strictly increasing in ...

    Text Solution

    |

  9. Prove the following f(x)=tan^(-1)(sinx+cosx) is strictly decreasing ...

    Text Solution

    |

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

    Text Solution

    |

  11. Prove that the function f given by f(x)" "=" "log" "s in" "x f(x)" "="...

    Text Solution

    |

  12. Prove that the function f given by f" "(x)" "=" "log" "cos" "x is stri...

    Text Solution

    |

  13. Show that the function f(x) = x3– 3x^2 + 6x – 100 is increasing on .

    Text Solution

    |

  14. Find the intervals in which the following functions are increasing : ...

    Text Solution

    |

  15. Find the interval in which 2x^(3)+9x^(2)+12x-1 is strictly increasing.

    Text Solution

    |

  16. Find the intervals in which the functions : (i) f(x)=x^(3)+2x^(2)-1 ...

    Text Solution

    |

  17. Prove that the function f(x)=x^2-x+1 is neither increasing nor decr...

    Text Solution

    |

  18. Find the values of 'a' for which the function : f(x)=x^(2)-2ax+6 is in...

    Text Solution

    |

  19. Find the values of 'a' for which f(x)=sinx-ax+b is decreasing function...

    Text Solution

    |

  20. Find the values of x for which y=[x(x-2)]^2is an increasing function

    Text Solution

    |