Home
Class 12
MATHS
Find the maximum slope of the curve y...

Find the maximum slope of the curve `y=-x^3+3x^2+2x-27` .

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (f) (Long Answer Type Questions (II))|33 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions)|45 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (e) (Long Answer Type Questions (I))|32 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

The maximum slope of curve y =-x^(3)+3x^(2)+9x-27 is

The maximum slope of the curve y=-x^(3)+3x^(2)-4x+9 is

The maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is 0(b)12(c)16 (d) 32

Maximum slope of the curve y = - x^(3)+ 3x ^(2)+ 9 x - 27 is

At what points,the slope of the curve y=-x^(3)+3x^(2)+9x-27 at point (x,y) is given by maximum slope.

Find the slope of tangent to the curve y= 2x^(3) - x^(2)+ 2 " at " ((1)/(2) , 2)

At what points,the slope of the curve y=-x^(2)+3x^(2)+9x-27 is maximum? Also find the maximum slope.

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 1 (f) (Long Answer Type Questions (I))
  1. Find two positive numbers x and y such that their sum is 35 and the ...

    Text Solution

    |

  2. Find two positive numbers whose sum is 16 and the sum of whose cube...

    Text Solution

    |

  3. Find two positive numbers x and y such that x + y = 60and x y^3is max...

    Text Solution

    |

  4. How should we choose two numbers, each greater than or equal to -2 ...

    Text Solution

    |

  5. Find the maximum slope of the curve y=-x^3+3x^2+2x-27 .

    Text Solution

    |

  6. Two sides of a triangle are given. The angle between them such that th...

    Text Solution

    |

  7. A wire of length 36m is to be cut into two pieces. One of the piece...

    Text Solution

    |

  8. A wire of length 36cm is cut into the two pieces, one of the pieces is...

    Text Solution

    |

  9. Prove that the perimeter of a right - angled triangle of given hypoten...

    Text Solution

    |

  10. Prove that the area of right-angled triangle of given hypotenuse is...

    Text Solution

    |

  11. Prove that the least perimeter of an isosceles triangle in which a cir...

    Text Solution

    |

  12. Show that of all the rectangles of given area, the square has the s...

    Text Solution

    |

  13. Show that the rectangle of maximum perimeter which can be inscribed...

    Text Solution

    |

  14. Show that the rectangle of maximum area that can be inscribed in a ...

    Text Solution

    |

  15. Show that of all the rectangles inscribed in a given fixed circle, ...

    Text Solution

    |

  16. A rectangle is inscribed in a semi-circle of radius r with one of its ...

    Text Solution

    |

  17. Of all rectangles, each of which has perimeter : (i) 40 cm (ii) 60...

    Text Solution

    |

  18. An open box with a square base is to be made out of a given quantit...

    Text Solution

    |

  19. Show that the semi - vertical angle of the right - circular cone of ma...

    Text Solution

    |

  20. Prove that the semi-vertical angle of the right circular cone of given...

    Text Solution

    |