The edge of a cube is increasing at the rate of 2 cm/s. Find the rate of increase of the volume when each side is 8 cm
I can't think of a pre-calc method for this one
Let be the side of the cube and let be the volume.
From the volume of a cube
it is known that
We want to know
To get this use the chain rule:
To find differentiate the first equation
To find the overall answer sub in in
I get an answer of