4) An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?
It is given that the rate at which edge of cube increase = 3 cm/s
The volume of cube =
(By chain rule)
It is given that the value of x is 10 cm
So,
Hence, the rate at which the volume of the cube increasing when the edge is 10 cm long is