related rates

[Dorian Gray]

Hello Everyone,

I am having a terrible time with this problem:

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.


I have no idea where to start or how to begin addressing it.

Any help is always appreciated.

Thanks!

 

[Deleted member 4993]

Hello Everyone,

I am having a terrible time with this problem:

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.


I have no idea where to start or how to begin addressing it.

Any help is always appreciated.

Thanks!

Can you express V(olume) as a function of x?

 

[Dorian Gray]

I believe the problem let's me. It does not say anything specific.

are you suggesting something like V(x)=(x^3)*(dx/dt) ?

 

[srmichael]

I believe the problem let's me. It does not say anything specific.

are you suggesting something like V(x)=(x^3)*(dx/dt) ?

Not quite.

\(\displaystyle \displaystyle V(x)=x^3\)

\(\displaystyle \displaystyle \frac{dV}{dt}=3x^2\cdot\frac{dx}{dt}\) Using Chain rule with respect to t

 

[Dorian Gray]

thank you everyone

Thank you everyone VERY MUCH for your responses. Hmmm...I see how you did that. Interesting...