Home
Class 11
MATHS
A point P is moving on the curve y = 2 x...

A point P is moving on the curve `y = 2 x^(2)` . The x coordinate of P is increasing at the rate of 4 units per second . Find the rate at which y coordinate is incerasing when the point is at (2,8).

Text Solution

Verified by Experts

The correct Answer is:
y co-ordinate is increasing at the rate of `32 "units"//sec`.
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(f)|12 Videos
  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(g)|16 Videos
  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(d)|8 Videos
  • ADDITION OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise - 4 (b) |11 Videos
  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

Similar Questions

Explore conceptually related problems

A point is moving on y=4-2x^2 . The x -coordinates of the point is decereasing at the rate of 5 units per second. The nthe rate at which y coordinates of the point is changing when the point is (1, 2) is

A point is moving on y = 4 - 2x^(2) . The x-coordinate of the point is decreasint at the rate of 5 units/sec. Then the rate at which y - coordinate of the point is changing when the point is at (1,2) is

A point is moving along the cubical parabola 12y = x^(3) . The rate of ordinate is less than the rate of abscissa when

The point on the circle x^2+y^2=2 at which the abscissa and ordinate increase at the same rate is

A point on the parabola y^2=18x at which the ordinate increases at twice the rate of the abscissa is

A particle moves along the curve y=x^2+2x . Then the point on the curve such that x and y coordinates of the particle change with the same rate

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.

Find the points on the curve y = x^3 at which the slope of the tangent is equal to the y-coordinate of the point.

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-APPLICATION OF DERIVATIVES-Exercise-10(e)
  1. At time t, the distance s of a particle moving in a straight line is g...

    Text Solution

    |

  2. If y=x^4 then find the average rate of change of y between x= 2 and x=...

    Text Solution

    |

  3. A particle moving along a straight line has the relation s=t^(3)+2t+3,...

    Text Solution

    |

  4. The distance-time formula for the motion of a particle along a straigh...

    Text Solution

    |

  5. The displacement s of a particle travelling in a straight line in t se...

    Text Solution

    |

  6. The volume of a cube is increasing at the rate of 8cm^3//sec. How fast...

    Text Solution

    |

  7. A stone is dropped into a quiet lake and ripples move in circles at th...

    Text Solution

    |

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

    Text Solution

    |

  9. A balloon which always remains spherical on inflation is being inflate...

    Text Solution

    |

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

    Text Solution

    |

  11. Assume that an object is launched upward at 980m/seclis position would...

    Text Solution

    |

  12. Let a kind of bacteria grow by t^(3) (t in sec). At what time the rate...

    Text Solution

    |

  13. Suppose we have a rectangular aquarium with dimensions of length 8m, w...

    Text Solution

    |

  14. A container is in the shape of an inverted cone has height 8m and radi...

    Text Solution

    |

  15. The total cost C(x) in Rupees associated with the production of x unit...

    Text Solution

    |

  16. The total revenue in rupees received from the sale os x units of a pro...

    Text Solution

    |

  17. A point P is moving on the curve y = 2 x^(2) . The x coordinate of P ...

    Text Solution

    |