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).

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

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 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

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 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

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)

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