Differentiation

[footprints]

Given that pV=3600, find the value of\frac{dp}{dV} when p= 40
I don't even know where to start?

[Nylex]

Find the value of V when p = 40, then evaluate dp/dV using your value of V.

[footprints]

Do you mean 40p = 3600?
Sorry I don't understand. My teacher doesn't teach very well.

[Nylex]

Do you mean 40p = 3600?
Sorry I don't understand. My teacher doesn't teach very well.

No, set p = 40 so you get 40V = 3600 and solve for V. Then write p in terms of V, differentiate and then plug in your value of V.

[dextercioby]

Do you mean 40p = 3600?
Sorry I don't understand. My teacher doesn't teach very well.

Vp(V)=3600;p(V)=\frac{3600}{V} .

Question:what is \frac{dp(V)}{dV} ??

Daniel.

[footprints]

Got it. Thanks. Last question. Why do I have to find V? Or how do I know I have to find V?

[Nylex]

Got it. Thanks. Last question. Why do I have to find V? Or how do I know I have to find V?

Well because you're asked to find a value for dp/dV and your expression for dp/dV will be in terms of V and not p.

[footprints]

Oh right. Thanks a lot. Really appreciate it.