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 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 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.

Find the derivative of log(tan e^x) w.r.t.x.

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.

The length 'x' of a rectangle is decreasing at the rate of 2cm//s and the width 'y' is increasing at the rate of 2cm//s . Find the rate of change of perimeter.

Differentiate the following w.r.t.x e^(x^2)

A spherical bubble is decreasing in volume at the rate of 2cm^3//sec . Find the rate of which the suraface area is diminishing when the radius is 3 cm.

Differentiate the following w.r.t x. e^(x^3)