Finding Time-Derivative of V(x,y) with Chain Rule

[Niles]

Homework Statement

Hi all.

I have an expression given by V(x,y) = ay+x²y², where a is a constant. I wish to find the time-derivative of V(x,y), and this is what I have done:

$$\frac{dV}{dt} = a\dot y + \frac{d}{dt}x^2y^2,$$
where the dot over y represents differentiation w.r.t. time. My problem is the last term, and I wish to use the chain-rule, but I am not sure how to use it. Can you give me a push in the right direction?

Thanks in advance.


Niles.

 

[rootX]

Apply the product rule first to x^2.y^2

 

[Nick89]

Do you know how to do:
$$\frac{d}{dt}x^2$$
(Assuming x is a fuction of t)
?