Home
Class 12
MATHS
Show that the function f given by f(X) =...

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

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

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

Prove that the function 'f' given by f (x) = log sin x is strictly increasing on (0,pi/2)

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)

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

Prove that the function f given by f(x) = x^2-x+1 is neither strictly increasing nor decreasing on (– 1, 1) .

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

Find the intervals in which the function f given by f(x) = x^2 - 4x + 6 , is strictly decreasing.

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

Show that the function f(x) = x^3-6x^2 + 15x + 4 is strictly increasing in R.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. A swimming pool is to be drained for cleaning. If L represents the num...

    Text Solution

    |

  2. Prove that the function f(X) = ax + b is increasing iff a > 0.

    Text Solution

    |

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

    Text Solution

    |

  4. Show that the function f (x) = (x)/(1+|x|) is a strict increasing func...

    Text Solution

    |

  5. Show that the function f(x) = x -(1)/(x) is a strict increasing functi...

    Text Solution

    |

  6. Show that f(x) = 2x+Cot^-1 x +log(sqrt(1+x^2)-x) is increasing in R.

    Text Solution

    |

  7. Show that for a ge1 f(x) = sqrt3 sinx-cosx - 2ax +b is decreasing in R...

    Text Solution

    |

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

    Text Solution

    |

  9. Show that f(X) = x^3 - 6x^2 + 18 x + 5 is an increasing function for a...

    Text Solution

    |

  10. Show that the function f(X) = (x^2 - 2x +2) e^x + 3 is an increasing f...

    Text Solution

    |

  11. Show that the function x^2 - x+1 is neither increasing nor decreasing ...

    Text Solution

    |

  12. Indicate the interval in which the function f(X) = cos x, 0lex le2pi, ...

    Text Solution

    |

  13. Prove that the function f(X) = cosx is strictly decreasing (0,pi) and ...

    Text Solution

    |

  14. Determine whether the following function is increasing or decreasing i...

    Text Solution

    |

  15. Prove that the function f(x) = tanx-4x is strictly decreasing on (-pi/...

    Text Solution

    |

  16. Find for which values of 'x', the functions: y =x^4 -(4x^3)/3 is incre...

    Text Solution

    |

  17. Find the intervals in which the function f given by f(x) = 4x^3 - 6x^2...

    Text Solution

    |

  18. Determine the values of x for which the function x + 1/x is strictly i...

    Text Solution

    |

  19. Determine the values of x for which the function 2x^3 - 24x + 5 is inc...

    Text Solution

    |

  20. Determine the intervals in which the function f(x) = x^3 + 5x^2 -1 is ...

    Text Solution

    |