Home
Class 12
MATHS
For the curve y = 5x - 2x^3, if x increa...

For the curve `y = 5x - 2x^3`, if x increases at te rate of 2units/s, then how fast is the slope of curve changing when x =3?

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

Area betweenn the curve y = 4+3x-x^(2) and x - axis is square units is :

The length x of a rectangle is decreasing at the rate of 2 cm/s and the width y is increasing at the rate of 2 cm/s. When x = 12 cm and y = 5 cm find the rate of change of (a) the perimeter

If equation of the curve is y^2=4x then find the slope of normal to the curve

Sketch the curve y=(x-1)(x-2)(x-3) .

A particle moves along the curve y = (2/3)x^3 +1 . Find the points on the curve at which y-coordinate is changing twice as fast as the x-coordinate.

A particle moves along the curve 6y = x^3+2 . Find the points on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate.

The point on the curv3e y = sqrt(4x-3) -1, at which the slope of the tangent is 2/3 , is

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

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. For the curve y = 5x - 2x^3, if x increases at te rate of 2units/s, th...

    Text Solution

    |

  2. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  3. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  4. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

    Text Solution

    |

  5. The radius of a soap-bubble is increasing at the rate of 0.2cm/s. Find...

    Text Solution

    |

  6. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  7. The radius of a circle is increasing uniformly at the rate of 4 cm per...

    Text Solution

    |

  8. If the area of a circle increases uniformly, then show that the rate o...

    Text Solution

    |

  9. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

    Text Solution

    |

  10. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

    Text Solution

    |

  11. The radius of spherical balloon is increasing at the rate 5 cm per sec...

    Text Solution

    |

  12. The radius of a spherical soap bubble is increasing at the rate of 0.3...

    Text Solution

    |

  13. A balloon, which always remains spherical, has a variable diameter 3/2...

    Text Solution

    |

  14. A balloon, which always remains spherical on inflation, is being infla...

    Text Solution

    |

  15. The volume of a cube is increasing at the rate of 9 "cm"^(3)//sec. How...

    Text Solution

    |

  16. The volume of a cube is increasing at the rate of 8 cm^3/s. How fast i...

    Text Solution

    |

  17. The volume of a cube is increasing at the rate of 7 cubic metre per se...

    Text Solution

    |

  18. A particle moves along the curve y=4/(3)x^(3)+5. Find the points on th...

    Text Solution

    |

  19. A particle move along the curve 6y = x^3 +2. Find the points on the cr...

    Text Solution

    |

  20. The radius of a cylinder increases at the rate of 1 cm/s and its heigh...

    Text Solution

    |

  21. The contentment obtained after eating X-units of a new dish at a trial...

    Text Solution

    |