Derivative of ellipse

 

{\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1.}

 

f′(t) = ±  t/ba / b1-t/ba )       -t/ba / b1-t/ba ) (y0)

            t/ba / b1-t/ba ) (y<0)

          T.theodor