Question

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

Answer 1

Good question

here we go ...


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



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