Home
Class 12
MATHS
Find intervals in which the function giv...

Find intervals in which the function given by `f(x)=3/10x^(4)-4/5x^(3)-3x^(2)+36/5x+11` is
strictly decreasing

Text Solution

Verified by Experts

The correct Answer is:
`(-infty, -2) cup (1, 3)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|8 Videos
  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos

Similar Questions

Explore conceptually related problems

Find intervals in which the function given by f(x) = (3/10)x^4 - (4/5)x^3 - 3x^2 + (36/5)x + 11 is decreasing.

Find intervals in which the function given by f(x) = (3/10)x^4 - (4/5)x^3 - 3x^2 + (36/5)x + 11 is increasing.

Find the intervals in which the function f, given by f(x)=2x^(3)-3x^(2)-36x+7 is strictly increasing and strictly decreasing.

Find the intervals in which the function f given by f(x)=2x^(3)-3x^(2)-36x+8 is (i) strictly increasing (ii) strictly decreasing

Find the intervals in which the function f, given by f(x)=-2x^(3)-9x^(2)-12x+1 is strictly increasing and strictly decreasing.

Find the intervals in which the function f given by f(x)=4x^(3)-6x^(2)-72x+30 is strictly increasing and strictly decreasing.

ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 2 MARKS
  1. Find the equation of the tangent to the curve y=(x^(3)-1)(x-2) at poin...

    Text Solution

    |

  2. Find the points on the curve y=x^(3)-3x^(2)+2x at which tangent to the...

    Text Solution

    |

  3. Find the equation of the tangent line to the curve y = x^2 - 2x + 7, w...

    Text Solution

    |

  4. Find the equation of the tangent line to the curve y = x^2-2x+7 which ...

    Text Solution

    |

  5. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

    Text Solution

    |

  6. Find the point on the curve y=2x^(3)-15x^(2)+36x-21 at which the tange...

    Text Solution

    |

  7. Find the equations of the tangents to the curve 3x^2 - y^2 = 8, which ...

    Text Solution

    |

  8. Find the equations of the normal at a point on the curve x^2=4y, which...

    Text Solution

    |

  9. For the curve y = 4x^3-2x^5, find all the points at which the tangent ...

    Text Solution

    |

  10. Find the value of p for which the curves x^(2)=9p(9-y) and x^(2)=p(y+1...

    Text Solution

    |

  11. Find the values of 'x' for which f(x) = [x(x-2)]^2 is an increasing fu...

    Text Solution

    |

  12. Determine the values of x for which the function f(x)=x/(x^(2)+1) is s...

    Text Solution

    |

  13. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  14. Find the intervals in which the following functions are strictly incre...

    Text Solution

    |

  15. Find intervals in which the function given by f(x)=3/10x^(4)-4/5x^(3)-...

    Text Solution

    |

  16. Find intervals in which the function given by f(x)=3/10x^(4)-4/5x^(3)-...

    Text Solution

    |

  17. The lengths of the sides of an isosceles triangle are 9+x^(2), 9+x^(2)...

    Text Solution

    |

  18. Manufacturer can sell x items at a price of rupees Rs(5-(x/100)) each...

    Text Solution

    |