- #1
sooyong94
- 173
- 2
Homework Statement
Given a pair of parametric equations,
##x=f(t)## and ##y=g(t)## ,
The first derivative is given by
##\frac{dy}{dx}=\frac{g'(t)}{f'(t)}##
and the second derivative is actually
##\frac{d}{dt}(\frac{dy}{dx})##
But why we cannot find the second derivative of a parametric equation by doing this?
##\frac{d^2 y}{dx^2}=\frac{g''(t}{f''(t)}##
Homework Equations
Parametric derivatives
The Attempt at a Solution
I know the parametric derivatives can be done by treating
##\frac{dy}{dt}## and ##\frac{dx}{dt}## as a fraction, but why can't we do that to second derivatives?