Home
Class 12
MATHS
Find the intervals in which f(x)=x^2+2x-...

Find the intervals in which `f(x)=x^2+2x-5` is increasing or decreasing.

Text Solution

AI Generated Solution

To determine the intervals in which the function \( f(x) = x^2 + 2x - 5 \) is increasing or decreasing, we will follow these steps: ### Step 1: Find the derivative of the function To find where the function is increasing or decreasing, we first need to compute the derivative of \( f(x) \). \[ f'(x) = \frac{d}{dx}(x^2 + 2x - 5) = 2x + 2 \] ...
Promotional Banner

Topper's Solved these Questions

  • HIGHER ORDER DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|176 Videos
  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which f(x)=-x^(2)-2x+15 is increasing or decreasing.

Find the intervals in which f(x)=-x^(2)-2x+15 is increasing or decreasing.

Find the intervals in which f(x)=6-9x-x^(2) is increasing or decreasing.

Find the intervals in which f(x)=x^(4)-4x is increasing or decreasing.

Find the intervals in which f(x)=10-6x-2x^(2) is increasing or decreasing.

Find the intervals in which f(x)=(x)/(log x) is increasing or decreasing

Find the intervals in which f(x)=(x)/(log x) is increasing or decreasing.

Find the intervals in which f(x)=(x)/(log x) is increasing or decreasing

Find the intervals in which f(x)=2x^(3)-24x+7 is increasing or decreasing.

Find the intervals in which f(x)={x(x-2)}^(2) is increasing or decreasing.

RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises
  1. Find the values of k for which f(x)=k x^3-9k x^2+9x+3 is increasing on...

    Text Solution

    |

  2. Find the intervals in which f(x)=10-6x-2x^2 is increasing or decreasin...

    Text Solution

    |

  3. Find the intervals in which f(x)=x^2+2x-5 is increasing or decreasing.

    Text Solution

    |

  4. Find the intervals in which f(x)=6-9x-x^2 is increasing or decreasing.

    Text Solution

    |

  5. Find the intervals in which f(x)=2x^3-12 x^2+18 x+15 is increasing or ...

    Text Solution

    |

  6. Find the intervals in which f(x)=5+36 x+3x^2-2x^3 is increasing or dec...

    Text Solution

    |

  7. Find the intervals in which f(x)=8+36 x+3x^2-2x^3 is increasing or dec...

    Text Solution

    |

  8. Find the intervals in which f(x)=5x^3-15 x^2-120 x+3 is increasing or ...

    Text Solution

    |

  9. Find the intervals in which f(x)=x^3-6x^2-36 x+2 is increasing or decr...

    Text Solution

    |

  10. Find the intervals in which f(x)=2x^3-15 x^2+36 x+1 is increasing or d...

    Text Solution

    |

  11. Find the intervals in which f(x)=2x^3+9x^2+12 x+20 is increasing or de...

    Text Solution

    |

  12. Find the intervals in which f(x)=2x^3-9x^2+12 x-5 is increasing or dec...

    Text Solution

    |

  13. Find the intervals in which f(x)=6+12 x+3x^2-2x^3 is increasing or dec...

    Text Solution

    |

  14. Find the intervals in which f(x)=2x^3-24 x+107 is increasing or decrea...

    Text Solution

    |

  15. Find the intervals in which f(x)=-2x^3-9x^2-12 x+1 is increasing or de...

    Text Solution

    |

  16. Find the intervals in which f(x)=(x-1)(x-2)^2 is increasing or decreas...

    Text Solution

    |

  17. Find the intervals in which f(x)=x^3-12 x^2+36 x+17 is increasing or d...

    Text Solution

    |

  18. Find the intervals in which f(x)=2x^3-24 x+7 is increasing or decreasi...

    Text Solution

    |

  19. Find the intervals in which f(x)=3/(10)x^4-4/5x^3-3x^2+(36)/5x+11 is i...

    Text Solution

    |

  20. Find the intervals in which f(x)=x^4-4x is increasing or decreasing.

    Text Solution

    |