A balloon which always remains spherical has a variable diameter `3/2(2 x+1)`. Find the rate of change of its volume with respect to `x`

A balloon, which always remains spherical, has a variable diameter 3/2(2x+1) . Find the rate of change of its volume w.r.t. x.

A balloon which always remains spherical has a variable radius. Find the rate at which its volume is increasing with the radius when the latter is 10cm .

A balloon, which always remains spherical has a variable radius. Find the rate at which volume is increasing with the radius when the later is 10 cm.

The radius of a cylinder increases at a rate of 1 cm/s and its height decreases at a rate of 1cm/s. Find the rate of change of its volume when the radius is 5 cm and the height is 15 cm. If the volume should not change even when the radius and height are changed, what is the relation between the radius and height?

The radius of a cylinder is increasing at a rate of 1 cm//s and its height decreasing at a rate of 1 cm//s . Find the rate of change of its volume when the radius is 5 cm and the height is 5 cm.

Find the rate of change of the area of a circle with respect to its radius r when r = 3 cm.

The total revenue is Rupees received from the sale of x units of a product is given by R(x)=3x^2+36x+5 . Find the marginal revenue, when x = 5, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant.

Differentiate log{sin(x^2/3-1)} with respect to x.

A cube is expanding in sch a way that its edge is increasing at a rate of 2 inches per second . If its edge is 5 inches long then the rate of change of its volume is

Differentiate sin(x^2/3-1) with respect to x.