Home
Class 12
MATHS
Show that the function given by f(x)=3x+...

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

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

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

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

Show that the function given by f(x)=sinx is strictly increasing on (0,pi/2)

Find the least value of a such that the function f given by f(x)=x^2+a x+1 is strictly increasing on (1,2)

Show that the function given by f(x)=sin x is a) strictly increasing in (0, pi/2) b) Strictly decreasing in (pi/2, pi) c) Neither increasing nor decreasing in (0,pi) .

Let I be any interval disjoint from [-1,1] . Prove that the function f given by f(x)=x+1/x is strictly increasing on I.

Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on (1,2)

Let I be any interval disjoint from (-1,1) Prove that the function f given by f(x)=x+(1/x) is strictly increasing on I .

Show that the function given by f(x)=sinx is strictly decreasing on (pi/2,pi)

Prove that the function f given by f(x)=logsinx is strictly increasing on (0,pi/2) and strictly decreasing on (pi/2,pi)

BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

    Text Solution

    |

  2. A ball is thrown vertically upwards which satisfies the equation S=80t...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the slope of the tangent to curve y=x^3-x+1 at the point whose x...

    Text Solution

    |

  5. Find the equation of tangents and normals to the given curves y=x^3 at...

    Text Solution

    |

  6. Choose the correct answer from the bracket The slope of the normal to ...

    Text Solution

    |

  7. Use differentials to find the approximate value of (0.009)^(1/3) up to...

    Text Solution

    |

  8. Consider the function f(x)=(-3)/4x^4-8x^3-45/2x^2+105. Find f'(x).

    Text Solution

    |

  9. Consider the function f(x)=(-3)/4x^4-8x^3-45/2x^2+105. Find points of ...

    Text Solution

    |

  10. Consider the curve 2y=3-x^2 Find the slope of the tangent to this curv...

    Text Solution

    |

  11. Consider the curve 2y=3-x^2 Find the points on the curve at which tang...

    Text Solution

    |

  12. Consider the curves x=y^2 and xy=k Differentiate both the equations wi...

    Text Solution

    |

  13. Prove that the curve x=y^2 and xy=k cut at right angles, if 8k^2=1.

    Text Solution

    |

  14. The total profit y (in rupee) of a drug company from the manufacture a...

    Text Solution

    |

  15. The total profit y (in rupee) of a drug company from the manufacture a...

    Text Solution

    |

  16. Of all the cylinders with given surface area, show that the volume is ...

    Text Solution

    |

  17. A man 160 cm tall, walks away from a source of light situated at the t...

    Text Solution

    |

  18. It is given that at x = 1, the function x^4-62x^2+ax+9 attains its max...

    Text Solution

    |

  19. The total profit y (in rupee) of a drug company from the manufacture a...

    Text Solution

    |

  20. The total profit y (in rupee) of a drug company from the manufacture a...

    Text Solution

    |