Question

Find the derivative of the function. f(z) = e^(z/(z − 6))

Answer 1

Good question

here we go ...

$f(z) = e^{\frac{z}{z-6} }\\~\\ \frac{d}{dz}(f(z))= e^{\frac{z}{z-6} }*[ \frac{z(1)-(z-6)*1}{(z-6)^2} ]=e^{\frac{z}{z-6} }*[ \frac{z-z+6}{(z-6)^2} ]\\~\\=e^{\frac{z}{z-6} }*[ \frac{6}{(z-6)^2} ]$



Take it step by step, then you will get it totally understood