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

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 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.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Prove that the curves x = y^2 and xy = k cut at right angles if 8k^2 =...

    Text Solution

    |

  2. Find the condition that the curves 2x = y^2 and 2 xy = k may intersect...

    Text Solution

    |

  3. For the curve y = 5x - 2x^3, if x increases at te rate of 2units/s, th...

    Text Solution

    |

  4. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  5. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  6. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  7. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  8. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  9. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  10. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  11. If y = sin x and x change form pi/2 to 22/14, what is the approximate ...

    Text Solution

    |

  12. A circular metal plate expands under heating so that its radius increa...

    Text Solution

    |

  13. If the side of a cube be increased by 0.1%. Find the corresponding inc...

    Text Solution

    |

  14. Find the approximate change in the volume V of a cube of side x meters...

    Text Solution

    |

  15. If the radius of a sphere is measured as 9 cm with an error of 0.03 cm...

    Text Solution

    |

  16. If the radius of a sphere is measured as 9 m with an error of 0.03 m, ...

    Text Solution

    |

  17. Find the maximum or minimum values of the functions. f(x) = 16x^2 - ...

    Text Solution

    |

  18. Find the maximum or minimum values of the functions. f(x) = sin x co...

    Text Solution

    |

  19. Find the maximum or minimum values of the functions. f(x) = sin^4 x ...

    Text Solution

    |

  20. Find the maximum or minimum values of the functions. f(x) = sin^4 x ...

    Text Solution

    |