Understanding the Relationship between dv/dt and vdv/dx in Calculus

[Brewer]

I have a question that asks me to write dv/dt as a function of x.

I know that dv/dt = vdv/dx

but I don't know why this is. Could anybody shed some light on this for me? Just so I understand why it is this!

Thanks in advance

 

[dextercioby]

Did you hear about the chain rule of differentiation...?

Daniel.

 

[Brewer]

Did you hear about the chain rule of differentiation...?

Daniel.

yeah that though occurred to me whilst sitting in the car just.

but surely there's another term involved in it isn't there?

 

[dextercioby]

No.

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

Daniel.

 

[Brewer]

No.

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

Daniel.

Of course! What I had in mind was the product rule! Thank you for that - makes so much sense to me now!