A particle moves along the x-axis with velocity dx/dt=f(x)

[hyper]

I think I am supposed to use the chain rule in this excercise, but I don't know how to. Please helt me.

A particle moves along the x-axis with velocity dx/dt=f(x). Show that the particle's acceleration is f(x)*f '(x).

 

[Hootenanny]

I think I am supposed to use the chain rule in this excercise, but I don't know how to. Please helt me.

A particle moves along the x-axis with velocity dx/dt=f(x). Show that the particle's acceleration is f(x)*f '(x).

Can you start by writing down the chain rule?

 

[hyper]

Can you start by writing down the chain rule?

dy/dt= dy/du * du/dt

 

[Defennder]

Well next, think of how to apply it. Think of how to differentiate f(x) with respect to time.