On the curve x^3=12 y , find the interva...

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

Topper's Solved these Questions

CONTINUITY AND DIFFERENTIABILITY
BANSAL|Exercise All Questions|425 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?

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

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

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 ………….

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

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

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.

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

= Find the point on the curve y^(2)=8x+3 for which the y-coordinate changes 4 xx more than coordinate of x.

The point on the parabola y^(2)=4x at which the abscissa and ordinate change at the same rate is

BANSAL-APPLICATION OF DERIVATIVE-All Questions

Use differential to approximate sqrt(101)dot
Text Solution
|
Displacement s of a particle at time t is expressed as s=1/2t^3-6tdot ...
Text Solution
|
On the curve x^3=12 y , find the interval of values of x for which the...
Text Solution
|
If water is poured into an inverted hollow cone whose semi-vertical ...
Text Solution
|
A man 1.6 m high walks at the rate of 30 metre per minute away from...
Text Solution
|
A horse runs along a circle with a speed of 20k m//h . A lantern is at...
Text Solution
|
A particle moves along the curve 6y=x^3+2 . Find the points on the cur...
Text Solution
|
An open Can of oil is accidently dropped into a lake; assume the oi...
Text Solution
|
A circular ink blot grows at the rate of 2 cm^2 per second. Find the ...
Text Solution
|
If in a triangle A B C , the side c and the angle C remain constant, w...
Text Solution
|
Using differentials, find the approximate value of sqrt(0. 037), co...
Text Solution
|
Using differentials, find the approximate value of (82)^(1/4) upto ...
Text Solution
|
The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,0) and cuts t...
Text Solution
|
Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...
Text Solution
|
Tangent at a point P1\ (ot h e r\ t h a n\ (0,0) on the curve y=x^3 me...
Text Solution
|
If the sum of the squares of the intercepts on the axes cut off by ...
Text Solution
|
Tangents are drawn from the origin to curve y=sinxdot Prove that point...
Text Solution
|
Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...
Text Solution
|
Three normals are drawn from the point (14,7) to the curve y^2-16x-8y=...
Text Solution
|
Find the equation of tangents to the curve x^2+y^2-2x-4y+1=0 which ...
Text Solution
|