Home
Class 12
MATHS
The function f(x) = 2x^3 -15x^2+36x+6 is...

The function `f(x) = 2x^3 -15x^2+36x+6` is stictly decreasing in the interval

A

(2,3)

B

`(-infty,2)`

C

(3,4)

D

`(-infty,3)uu(4,infty)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which the function f(x)=2x^3 -15x^2 + 36x + 1 is strictly decreasing

Find the intervals in which the function f(x)=2x^3 -15x^2 + 36x + 1 is strictly increasing

Find the intervals in which the function : f(x) = 2 x^3 - 3 x^2 - 36x + 7 is Strictly decreasing

Determine the intervals in which the following functions f (x ) = 2x^3 - 15x^2 + 36x +1 are strictly increasing or strictly decreasing.

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

Find the intervals in which the function f(x) = 2x^2-3x is strictly decreasing.

Find the intervals in which the function : f(x) = 2 x^3 - 3 x^2 - 36x + 7 is Strictly increasing

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. If x is real, the maximum value of x^2 -8x + 17 is

    Text Solution

    |

  2. A straight line parallel to the line 2x-y+5 =0 is also a tangent to th...

    Text Solution

    |

  3. The function f(x) = 2x^3 -15x^2+36x+6 is stictly decreasing in the int...

    Text Solution

    |

  4. The slope of the tangent to the curve y^2e^(xy) =9e^(-3)x^2 at (-1,3) ...

    Text Solution

    |

  5. The tangent to the curve y =x^3 +1 at (1,2) makes an angle theta with ...

    Text Solution

    |

  6. A stone is dropped into a quiet lake and wave move in circles at a spe...

    Text Solution

    |

  7. If 'f' is a real valued differentiable function such that f(x) f'(x) <...

    Text Solution

    |

  8. Maximum value of the function f(x) = x/8+2/x on the interval [1,6] is

    Text Solution

    |

  9. f(x) = (logx)/x is increasing in the interval

    Text Solution

    |

  10. The total number of local maxima and local minima of the function f(x)...

    Text Solution

    |

  11. Given p(x) =x^4 +ax^3 +bx^2+cx +d such that x = 0 is the only real roo...

    Text Solution

    |

  12. The equation of the tangent to the curve y = x+4/x^2, that is parallel...

    Text Solution

    |

  13. Let f: R rarr R be a positive increasing function with underset(xrar...

    Text Solution

    |

  14. Let F: R rarr R be defined by: f(x) = {:{(k-2x,ifxle-1),(2x+3,ifx> -1)...

    Text Solution

    |

  15. A spherical balloon is filled with 4500pi cubic metres of helium gas. ...

    Text Solution

    |

  16. The real number k for which the equations 2x^3 +3x+k=0 has two distinc...

    Text Solution

    |

  17. The number of points in (-oo,oo) for which x^(2)-xsinx-cosx=0, is

    Text Solution

    |

  18. The normal to the curve x^(2)+2xy-3y^(2)=0 at (1, 1)

    Text Solution

    |

  19. Let f(x) be a polynomial of degree four having extreme values at x =1 ...

    Text Solution

    |

  20. Consider f(x) = tan^-1(sqrt((1+sinx)/((1-sinx)))), x in (0,pi/2) A nor...

    Text Solution

    |