Home
Class 11
MATHS
The maximum slope of the curve y=-x^3+3x...

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

A

1

B

12

C

6

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-II|88 Videos

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

The gradient of the curve y=x^3-3x^2-2x+7 at (1,3) is

Find the points at which the tangent to the curve y = x^(3) - 3x^(2) - 9x + 7 is parallel to the x-axis.

The slope of the normal to the curve y = 2x ^2 + 3 sin x at x = 0 is

The equation of the normal to the curve y=2x^3+6x^2-9 where the curve crosses the y-axis is

AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-III
  1. The maximum slope of the curve y=-x^3+3x^2+9x-27 is

    Text Solution

    |

  2. The sum of two positive numbers is 48. The numbers so that the sum of ...

    Text Solution

    |

  3. The sum of two numbers is 16. If their product is maximum then the num...

    Text Solution

    |

  4. The maximum value of xy subject to x+y =7 is

    Text Solution

    |

  5. f(x)=sqrt3 sinx+cosx has a greatest value when x=

    Text Solution

    |

  6. The least value of e^x+e^(-x) is

    Text Solution

    |

  7. For a paricle moving on a straight line it is observed that the distan...

    Text Solution

    |

  8. A quadratic function in x has the value 9 when x = 1 and has a maximum...

    Text Solution

    |

  9. The absolute maximum of f(x)=x^3-3x+2 in [0,2] is

    Text Solution

    |

  10. In the interval [0,1] the function x^(25)(1-x)^(75) takes a maximum va...

    Text Solution

    |

  11. When x in [-6,8] the maximum value of (x+6)^4(8-x)^3 is

    Text Solution

    |

  12. The maximum and minimum value of f(x)=(x-8)^4(x-9)^5 occurs at x=

    Text Solution

    |

  13. If x,y are strictly positive such that x+y=1 then the minimum value of...

    Text Solution

    |

  14. If x,y = 12 then the minimum value of x^2+y^2 is

    Text Solution

    |

  15. The function f(x)=(x-1)^2+(x-2)^2+(x-3)^2+……+(x-9)^2 has minimum value...

    Text Solution

    |

  16. The maximum hight of the curve y=6cosx-8sinx above the x-axis

    Text Solution

    |

  17. f(x)=ae^x+be^(-x)(abgt0) has maximum value when

    Text Solution

    |

  18. Find the point on the curve y^2=4x which is nearst to the point (2,1)

    Text Solution

    |

  19. Observe the following statements : List-I: (A) If x+y=k then x^2+y^...

    Text Solution

    |

  20. Statement-I : The maximum value of (logx)/x" in "0ltxltoo" is "2/e S...

    Text Solution

    |