Question

用对数求导法求导数y={(x-5)/[(x^2+2)^(1/5)]}^(1/5)

Answer 1

ln|y|=(1/5)(ln|x-5|-(1/5)ln(x^2+2))

两边求导数得：

y'/y=(1/5)(1/(x-5)-(1/5)*2x/(x^2+2))

所以：y'={(x-5)/[(x^2+2)^(1/5)]}^(1/5)*(1/5)(1/(x-5)-(2x/(5(x^2+2)))