Glad to see good old MHF forum back :-)
Suppose that is a parameterised curve defined for and
is the arc length function measured from r(a)
a) Prove that s'(t) = || dr(t)||
How do I start this? It is easy to see that differentiating both sides will yield the proof but I dont know how to go about t. Any clues?
I tried something like letting r(t) = (t,f(t)) where x=t. Then ................?
Note I have this posted at the sister site. I will keep both forums updated to ensure no ones time is wasted. Thanks
Parameterised Curve Proof Part 1