Home
Class 12
MATHS
Without using the derivative show that t...

Without using the derivative show that the function `f(x)=7x-3` is strictly increasing function on `R` .

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar|7 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (a) (Short Answer Type Questions)|15 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

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

Show that the function f(x) = 5x - 2 is a strictly increasing function on R

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

Show that the function f(x)=-3x+12 is strictly decreasing function on R .

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

Show that the function f(x)=x^(2) is strictly increasing function on [0,oo)

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

Show that the function f(x)=x^(2) is a strictly increasing function on (0,oo).

Show that the function f(x) =- 5x + 2 is strictly decreasing function on R.

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

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Frequently Asked Questions
  1. Without using the derivative show that the function f(x)=7x-3 is stric...

    Text Solution

    |

  2. Show that the functionf(x) = 4x^3-18x^2+ 27x – 7 is always increasing ...

    Text Solution

    |

  3. Find the intervals in which the function "f\ "("x")="\ x"^3-"\ "12"...

    Text Solution

    |

  4. Find the intervals in which the function f(x)=x^4/4-x^3-5x^2+24x+12 is...

    Text Solution

    |

  5. Separate the interval [0,pi/2] into sub intervals in which function f(...

    Text Solution

    |

  6. Find the intervals in which f(x) = sin 3x – Cos 3x, 0 < 0 < pi, is str...

    Text Solution

    |

  7. Find the values of 'x' for which f(x)=x^(x),x gt 0 is strictly increas...

    Text Solution

    |

  8. If a, b, c are real numbers, then find the intervals in which : f(x)...

    Text Solution

    |

  9. Prove that (x)/((1 - x)) lt log (1 + x) lt x " for " x gt 0

    Text Solution

    |

  10. The point at which the tangent to the curve y =sqrt(4x - 3)-10 has slo...

    Text Solution

    |

  11. Find the equation of all lines having slope 2 and being tangent to th...

    Text Solution

    |

  12. Find the equation of the tangent to the curve y=(x-7)/((x-2(x-3) at t...

    Text Solution

    |

  13. Find the equations of the tangent and the normal to the curve 16x^2+9y...

    Text Solution

    |

  14. Find the equations of the tangent and normal to the curve x=asin^3t...

    Text Solution

    |

  15. Find the equations of tangent to the curve x=1-costheta , y=theta-sint...

    Text Solution

    |

  16. Find the equation of the tangent to the curve x^(2) + 3y = 3, which is...

    Text Solution

    |

  17. Determine the points on the curve x^(2)+y^(2)=13, where the tangents a...

    Text Solution

    |

  18. Show that the equation of normal at any point t on the curve x=3cost-c...

    Text Solution

    |

  19. Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touche...

    Text Solution

    |

  20. At what point will be tangents to the curve y=2x^3-15 x^2+36 x-21 by p...

    Text Solution

    |