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=x^(3) and x increases at the rate of 3 units per sec; then the rate at which the slope increases when x=3 is.

For the curve y=5x-2x^3 , if x increases at the rate of 2 units/sec, then how fast is the slope of the curve changing when x=3?

For the curve y=5x-2x^3 , if x increases at the rate of 2 units/sec, then how fast is the slope of the curve changing when x=3?

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).

For the curve y=5x-2x^(3), if x increases at the rate of 2 units/sec,then how fast is the slope of the curve changing when x=3?

Let S be the focus of y^(2)=4x and a point P be moving on the curve such that its abscissa is increasing at the rate of 4 units/s.Then the rate of increase of the projection of SP on x+y=1 when P is at (4,4) is (a) sqrt(2)(b)-1 (c) -sqrt(2)(d)-(3)/(sqrt(2))

Let S be the focus of y^2=4x and a point P be moving on the curve such that its abscissa is increasing at the rate of 4 units/s. Then the rate of increase of the projection of S P on x+y=1 when P is at (4, 4) is (a) sqrt(2) (b) -1 (c) -sqrt(2) (d) -3/(sqrt(2))

Let S be the focus of y^2=4x and a point P be moving on the curve such that its abscissa is increasing at the rate of 4 units/s. Then the rate of increase of the projection of S P on x+y=1 when P is at (4, 4) is (a) sqrt(2) (b) -1 (c) -sqrt(2) (d) -3/(sqrt(2))

Let S be the focus of y^2=4x and a point P be moving on the curve such that its abscissa is increasing at the rate of 4 units/s. Then the rate of increase of the projection of S P on x+y=1 when P is at (4, 4) is (a) sqrt(2) (b) -1 (c) -sqrt(2) (d) -3/(sqrt(2))