If V is the volume of a cube with side length x, calculate the derivative when x = 4 mm.What does V'(4) mean in this situation?

Answer 1

V = x^3

dV/dx = 3x^2

dV/dx the change of volume with respect to side measure x.

dV/dx = 2(4)^2

= 32

The rate of change of the volume / rate of change of the side measure x = 32