Question

[Related Rates]

If V is the volume of a cube with edge length x and the cube expands as time passes, find dv/dt in terms of dx/dt.

Answer 1

\[\frac{dv}{dt}=\frac{dv}{dx}\times \frac{dx}{dt}\]

Answer 2

and since
\[v=x^3\] you get
\[\frac{dv}{dt}=3x^2\frac{dx}{dt}\]