A point is moving on `y=4-2x^(2)`. The x-coordinate of the point is decreasing at the rate 5 unit per second. The rate at which y-coordinate of the point is changing when the point is `(1,2)` is

An object is moving in the clockwise direction around the unit circle x^(2)+y^(2)=1 . As it passes through the point (1/2,(sqrt(3))/2) , its y-coordinate is decreasing at the rate of 3 unit per second. The rate at which the x-coordinate changes at this point is (in unit per second)

An object is moving in the clockwise direction around the unit circle x^(2)+y^(2)=1. As it passes through the point ((1)/(2),(sqrt(3))/(2)), its y- coordinate is decreasing at the rate of 3units per second.The rate at which the x-coordinate changes at this point is.

A particle is moving along the parabola y^(2) = 4(x+2) . As it passes through the point (7,6) its y-coordinate is increasing at the rate of 3 units per second. The rate at which x-coordinate change at this instant is (in units/sec)

The y-coordinate of the point (2, 4) is __________.

Find the point on the curve y=x^2 where the slope of the tangent is equal to the x-coordinate of the point.

A point P moves along the curve y=x^(3) . If its abscissa is increasing at the rate of 2 units/ sec, then the rate at which the slop of the tangent at P is increasing when P is at (1,1) , is

A point P moves along the curve y=x^(3) . If its abscissa is increasing at the rate of 2 units/ sec, then the rate at which the slop of the tangent at P is increasing when P is at (1,1) , is

If y=7x-x^(3) and x increases at the rate of 4 units per second,how fast is the slope of the curve changing when x=2?

Find the point on the curve y=x^(2) where the slope of the tangent is equal to the x- coordinate of the point.

A point is in motion along a hyperbola y=(10)/(x) so that its abscissa x increases uniformly at a rate of l unit per second. Then, the rate of change of its ordinate, when the point passes through (5, 2)