Home
Class 12
MATHS
Find the interval in which the function ...

Find the interval in which the function `f(x)=x^(4)+32x` is increasing or decreasing. `x in R`

Text Solution

Verified by Experts

The correct Answer is:
In `(-2, oo)` increasing.
In `(-oo,2)` decreasing.
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|83 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise MISCELANEOUS EXERCISE - 6|27 Videos
  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which the function f given by f(x)=2x^(2)-3x is (a) incresing (b) decreasing

Find the in intervals in which f(x)=sin^(4)x+cos^(4)x is increasing or decreasing x in (0, (pi)/(2)) .

Find the intervals in which the functions are strictly increasing or decreasing: 6-9x-x^(2)

Find the intervals in which f(x)=(4x^(2)+1)/(x) is increasing or decreasing.

Find the intervals in which the functions are strictly increasing or decreasing: (x+1)^(3) (x-3)^(3)

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 given by f(x)=x^(2)-4x+6 is (a) Increasing (b) Decreasing

Find the intervals in which the following functions are strictly increasing or decreasing : f(x)=2x^(3)-9x^(2)-12x+15

Find the intervals in which the following functions are strictly increasing or decreasing : x^(2)+2x-5

Find the intervals in which the following functions are strictly increasing or decreasing : 10-6x-2x^(2)

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -PRACTICE WORK
  1. What is the maximum slope of the curve y=-x^(3)+3x^(2)+2x-27 ? Also fi...

    Text Solution

    |

  2. Find the co-ordinates of a point on the parabola y=x^(2)+7x+2 which is...

    Text Solution

    |

  3. The total area of a page is 150 square inchese. The combined width of ...

    Text Solution

    |

  4. The three sides of a trapezium are equal, each being 6 cm long. Find t...

    Text Solution

    |

  5. In a right angle triangle, the sum of hypotenuous and one side is give...

    Text Solution

    |

  6. Show that a triangle of maximum area that can be inscribed in a circle...

    Text Solution

    |

  7. The circle x^(2)+y^(2)=1 cats the X - axis at P and Q. Another circle ...

    Text Solution

    |

  8. Two roads OA and OB intersect at an angle 60^(@). A car driver approac...

    Text Solution

    |

  9. Find the interval in which the function f(x)=x^(4)+32x is increasing o...

    Text Solution

    |

  10. Show that the curves xy=a^(2) and x^(2)+y^(2)=2a^(2) touch each other.

    Text Solution

    |

  11. Prove that the slope of tangent at any point of the curve y=6x?^(3)+15...

    Text Solution

    |

  12. Prove that f(x)=((1)/(x))^(x) has local maximum at x=(1)/(e ).x in R^(...

    Text Solution

    |

  13. For simple pendulum, T = 2pi sqrt((l)/(g)) where T is the periodic tim...

    Text Solution

    |

  14. Find the equation of normal to the curve x^((2)/(3))+y^((2)/(3))=a^((2...

    Text Solution

    |

  15. Prove that the function f(x)=2|x-1|+3|x-4| is decreasing in the intrer...

    Text Solution

    |

  16. The radius of the cone is increasing at the rate of 4 cm/se. Its heigh...

    Text Solution

    |

  17. Prove that in all rectangles with given area, the perimeter of square ...

    Text Solution

    |

  18. The equation of a particle in motion is S=(1)/(4)t^(4)-2t^(3)+4t^(2)-7...

    Text Solution

    |

  19. At which point the curve y=-x^(3)+3x^(2)+2x-27 has maximum slope ? How...

    Text Solution

    |

  20. Water comes out from a conical funnel at the rate of 5 cm^(3)//s. When...

    Text Solution

    |