Determine the Schwarzian derivative of the following function: a.$$ f(x)= ax^2 + bx +c$$ b.$$ g(x) = x^3 + (1/2)x$$ c. $$h(x) = x^n $$ with n greater than or equal to 3
so I got the following answer, (I just wanted to amke sure they're correct/can't be reduced): a.$$ sf(x) = (-6a^2)/(2ax+b)^2$$ b.$$ sg(x) = (-36x^2+3)/(9x^4+3x^2$+1/4)$$ c.$$ sh(x) = ((n^3)x^(n-3)-3n^2x^{n-3}+2nx^{n-3}-(3/2)(n-1)x^{-1} $$(especially unsure about this one)
Thanks!
