Home
Class 12
MATHS
Find all a in R s.t. the function f(X) =...

Find all a `in `R s.t. the function f(X) = `(a+2) x^3 - 3 ax^2 +9 ax - 1` decrease for all x ` in ` 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

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

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

Prove that the function f(x)=(2x-1)/(3x+4) is increasing for all x R.

Fill in the blanks: The function f(x) = 4x - 3 is strict ____ function for all x in R.

The interval on which the function f(x) =2x^(3)+9x^(2)+12x-1 is decreasing is

Find the intervals in which the function f(X) = (x-1)^3(x-2)^2 is increasing or decreasing.

Find the intervals in which the function : f (x) = 20 - 9x + 6x^2 - x^3 is strictly decreasing.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the interval of monotonocity of the function f(X) = 2x^2 - log |x...

    Text Solution

    |

  2. Integrate the function: sin^(-1)((2x)/(1+x^2))

    Text Solution

    |

  3. Find all a in R s.t. the function f(X) = (a+2) x^3 - 3 ax^2 +9 ax - 1 ...

    Text Solution

    |

  4. Find the equation of the tangent to the curve y = -5x^2 + 6x + 7 at th...

    Text Solution

    |

  5. Find the equations of the tangent and the normal to each of the follow...

    Text Solution

    |

  6. Find the equations of the tangent and the normal to each of the follow...

    Text Solution

    |

  7. Find the equations of the tangent and the normal to each of the follow...

    Text Solution

    |

  8. Find the equations of the tangent and the normal to each of the follow...

    Text Solution

    |

  9. Find the equations of the tangent and the normal to each of the follow...

    Text Solution

    |

  10. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |

  11. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |

  12. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |

  13. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |

  14. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |

  15. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |

  16. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |

  17. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |

  18. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |

  19. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |

  20. Find the equations of the tangent and the normal to the following curv...

    Text Solution

    |