- #1
chwala
Gold Member
- 2,706
- 370
- Homework Statement
- see attached below
- Relevant Equations
- parametric equations differentiation
ok this is pretty straightforward to me, my question is on the order of differentiation, i know that:
##\frac {d^2y}{dx^2}=####\frac {d}{dt}.####\frac {dy}{dx}.####\frac {dt}{dx}##
is it correct to have,
##\frac {d^2y}{dx^2}=####\frac {d}{dt}##.##\frac {dt}{dx}##.##\frac {dy}{dx}##?
that is,
##\frac {d^2y}{dx^2}=####\frac {d}{dt}####\frac {dy}{dx}####\frac {dt}{dx}##=[##\frac {d}{dt}####.\frac {1}{2t}##]##\frac {1}{t}##
does the order really matter?
Last edited: