Finding the Schwarzian Derivative

Asked Sep 29 '14 at 20:11

Active Sep 29 '14 at 20:18

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Determine the Schwarzian derivative of the following function: $f(x)=ax^2+bx+c$.

I've plugged this into the Schawrzian derivative equation and got the following answer, but I'm not sure if it's able to be reduced anymore or if it even needs to be reduce.

$S_f(x)=\frac{(0)(2ax+b)-\frac{3}{2}(4a^2)}{(2ax+b)^2}=\frac{-6a^2+2ax+b}{(2ax+b)^2}$

edited Sep 29 '14 at 20:18

asked Sep 29 '14 at 20:11

jerry2144

1

I get: $ S_f (x) = \frac {-6 a^2} {(2 ax + b)^2} $ – Alan Sep 29 '14 at 20:22
1

$0$ times anything is $0$ – anon Sep 29 '14 at 20:25

Finding the Schwarzian Derivative

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