Home
Class 12
MATHS
On the curve x^(3)=12y, find the interva...

On the curve `x^(3)=12y`, find the interval at which the abscissa changes at a faster rate than the ordinate.

Text Solution

Verified by Experts

The correct Answer is:
`x in(-2,2)-{0}`
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

On the curve x^(3)=12y, find the interval of values of x for which the abscissa changes at a faster rate than the ordinate?

A point is moving along the curve y^(3)=27x . The interval in which the abscissa chnages at alower rate than ordinate, is (a, b). Then (a+b) is ………….

A point is moving along y^(3)=27x. The interval in which the abscissa changes at slower rate than ordinate is

A particle moves along the curve y=(4)/(3)x^(3)+5 . Find the points on the curve at which the y - coordinate changes as fast as the x - coordinate.

Find the point on the curve y^2=8x at which the abscissa and the ordinate change at the same rate.

The pont on the parabola x^(2) =16 y at which abscissa changes twice as fast as ordinate is

The points on the curve 12y = x^(3) whose ordinate and abscissa change at the same rate, are

Points on the ellipse (x^(2))/(25)+(9y^(2))/(400)=1 at which the abscissa increase at the same rate as the ordinate decreases are

In the curve y = 2+12x-x^3 , find the critical points.