Parametric Differentiation
You can differentiate y with respect to x when given the parameter t (t can be theta or any other parameter)
dy = dy x dt
dx dt dx
When given two parametric equations you can find
dy and dx
dt dt
This means you have to invert dx by dt, so when:
dx = 2
dt
then
dt = 1
dx 2
dy = dy x dt
dx dt dx
When given two parametric equations you can find
dy and dx
dt dt
This means you have to invert dx by dt, so when:
dx = 2
dt
then
dt = 1
dx 2
Implicit Differentiation
In implicit differentiation you can't differentiate y with respect to x directly.