Help deriving an equation using chain rule

  • Thread starter yugeci
  • Start date
  • #1
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Homework Statement



cdd8aadb54f538338f2d5063eab8f924.png


How does one get the r" equation from r'?

Homework Equations



r = distance
v = r' = ds/dt
a = r'' = dv/dt

chain rule, dy/dt = dy/dx * dx/dt

The Attempt at a Solution



I can easily get to r' from r using the chain rule but how do you derive r" from r'? How do you apply the chain rule when there are 3 variables (sec theta, tan theta and theta dot)?

Help would be appreciated.
 

Answers and Replies

  • #2
2,800
602
[itex] \frac{d}{dt} f(a(t),b(t),c(t))=\frac{\partial f}{\partial a}\dot a+\frac{\partial f}{\partial b} \dot b+\frac{\partial f}{\partial c} \dot c [/itex]
 

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