Home
Class 12
MATHS
A point is moving along the curve x^(3)...

A point is moving along the curve ` x^(3) = 12y,` which of the coordinates changes at a faster rate at `x= 10` ?

Promotional Banner

Topper's Solved these Questions

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE|5 Videos
  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|19 Videos
  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

Similar Questions

Explore conceptually related problems

A particle moves along the curve y=2/3x^3 . Find the points on the curve at which the 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.

Find the point on the curve y = x^(3) – 11x + 5 at which the tangent is y = x – 11.

The point (or points) on the curve y^(3)+ 3x^(2) =12y where tangent is vertical is/ are-

A particle moves along the curve y^(2) = 8x . At what point on the curve do the abscissa and ordinate increase at the same rate?

Find the coordinates of the position of a particle moving along the parabola y^(2) = 4x at which the rate of increase of the abscissa is twice the rate of increase of the ordinate.

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.

Find the point on the curve y=x^3-11 x+5 at which the tangent has the equation y=x-11

A particle is in motion along a curve 12y=x^3 . The rate of change of its ordinate exceeds that of abscissa in

On the curve x^3=12y the abscissa changes at a faster rate than the ordinate then y belongs to the interval

CHHAYA PUBLICATION-SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE-SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION
  1. A point is moving along the curve x^(3) = 12y, which of the coordinat...

    Text Solution

    |

  2. Find the points on the curve y = x^(2) + (1)/(x^(2)) at which (dy)/(dx...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the increment and differential of the function, f(x) = 2x^(2) - 3...

    Text Solution

    |

  5. The length of a side of a cube is 10 cm , if an error of 0.05 cm is ma...

    Text Solution

    |

  6. Find the increment Deltay of y corresponding to the increment Deltax o...

    Text Solution

    |

  7. The slope of the tangent to the curve represented by x = t^(2) + 3t - ...

    Text Solution

    |

  8. A spherical balloon is expanding. If the redius is increasing at the ...

    Text Solution

    |

  9. A 5(1)/(2)ft long man walks away from the foot of a 12(1)/(2)ft high l...

    Text Solution

    |

  10. The average rate of change of the function y = 16 - x^(2) between x = ...

    Text Solution

    |

  11. The distance x of a particle from a fixed point at time t is given by,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. ABC is a trangle whose sides are a units, b units and c units respecti...

    Text Solution

    |

  15. ABC is a trangle whose sides are a units, b units and c units respecti...

    Text Solution

    |

  16. In triangle ABC, a,b remain constant but the base angles A and B very,...

    Text Solution

    |

  17. The radius of sphere is found to be 20 cm with a possible error of 0.0...

    Text Solution

    |

  18. The radius of shpere is found to be 20 cm with a possible error of 0.0...

    Text Solution

    |

  19. The radius of shpere is found to be 20 cm with a possible error of 0.0...

    Text Solution

    |

  20. Each question in this section has four choices A,B,C,and D out of whi...

    Text Solution

    |

  21. Each question in this section has four choices A,B,C,and D out of whi...

    Text Solution

    |