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.

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?

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

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?

y=-x^(3) increasing in

A circular disc of radius 3 cm is being heated. Due to expansion, its radius increases at the rate of 0.05 cm/sec. Find the rate at which its area is increasing when radius is 3.2 cm.

The sides of an equilateral triangle are increasing at the rate of 2cm/sec. Find the rate at which the area increases,when the side is 10cm.

y=9x^(3)- log x increasing in

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