## Agentjamesbond007 4 years ago [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.

1. anonymous

$\frac{dv}{dt}=\frac{dv}{dx}\times \frac{dx}{dt}$

2. anonymous

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