Home
Class 12
MATHS
The maximum slope of the curve y=-x^3+3x...

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

A

5

B

`(-5)`

C

`1//5`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the points on the curve y = 2x^(3) - 15x^(2) + 24x - 10 at which the slope of the tangent is - 12.

The slope of the tangent to the curve y=2sqrt2x

If the value of maximum slope of f(x)=-x^3+8x^2-13x-18 is lambda then the value of root3(15lambda) must be

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

Find the slope of the tangent to the curve y = x^(3) –3x + 2 at the point whose x-coordinate is 3.

Find the slope of the tangent to curve y = x^(3) – x + 1 at the point whose x-coordinate is 2.

Calculated the area bounded by the curve y=x (3-x)^(2) the x-axis and the ordinates of maximum and minimum points of the curve.

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. xgt0,ygt0 and x+y=1. The minimum value of xlogx+ylogy is

    Text Solution

    |

  2. The minimum value of 2log10x-logx0.01. xgt1, is

    Text Solution

    |

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

    Text Solution

    |

  4. For the function f(x)=xe^x, the point

    Text Solution

    |

  5. The minimum value of logax+logxa,0ltxlta, is

    Text Solution

    |

  6. The sides of the rectangle of the greatest area, that can be inscribed...

    Text Solution

    |

  7. Tangents are drawn to the ellipse x^2+2y^2=2, then the locus of the mi...

    Text Solution

    |

  8. The tangent to the curve y=e^x drawn at the point (c,e^c) intersects t...

    Text Solution

    |

  9. The curves x^2/a+y^2/b=1and x^2/a1+y^2/b1=1 will cut orthogonally if ...

    Text Solution

    |

  10. If the tangent to the curve 2y^3=ax^2+x^3 at the point (a,a) cuts off ...

    Text Solution

    |

  11. The normal to the curve x=a(costheta+thetasintheta),y=a(sintheta-theta...

    Text Solution

    |

  12. The distance between the origin and the normal to the curve y=e^(2x)+x...

    Text Solution

    |

  13. Let g(x)={(2e,if,xle1),(log(x-1),if,xgt1):} The equation of the normal...

    Text Solution

    |

  14. The intercepts on x-axis made by tangents to the curve, oversetxunders...

    Text Solution

    |

  15. The Rolle's thorem is applicable in the interval -1lexle1 for the func...

    Text Solution

    |

  16. A value of 'c' for which the conclusion of mean value theorem holds fo...

    Text Solution

    |

  17. A value of ‘c’ for which conclusion of Mean Value Theorem holds for th...

    Text Solution

    |

  18. If f(x)=x^3+bx^2+cx+d and 0ltb^2ltc then in (-oo,oo)

    Text Solution

    |

  19. If f is a twice differentiable function such that f''(x)=-f(x),f'(x)=g...

    Text Solution

    |

  20. Consider a function y = f(x) defined parametrically asy=2t+t, x=t^2 fo...

    Text Solution

    |