- #1
TheWonderer1
- 88
- 1
I forgot where I came across this and why I got so determined to figure it out but I wanted to ask about this d/dx(v^2) business.
My question is to solidify my understanding of the chain rule with physics equations (sorry for crap terminology). Therefore, I know I use it and do the math as
d(v^2)/dv * dv/dx = 2v x dv/dx = 2 dx/dt * dv/dx= 2 dv/dt = 2a. I just sort of do that automatically but I’m unsure of the “why”.
Basically, if possible, could you explain to me the chain rule being used for these sort of equations? I understand the use for something like the derivative of (3x+1)^7 = 21(3x+1)^6.
My question is to solidify my understanding of the chain rule with physics equations (sorry for crap terminology). Therefore, I know I use it and do the math as
d(v^2)/dv * dv/dx = 2v x dv/dx = 2 dx/dt * dv/dx= 2 dv/dt = 2a. I just sort of do that automatically but I’m unsure of the “why”.
Basically, if possible, could you explain to me the chain rule being used for these sort of equations? I understand the use for something like the derivative of (3x+1)^7 = 21(3x+1)^6.