Posted inComplex Analysis Question: Prove that f(z) = e^z is differentiable at any point z Posted by By SK Math Expert March 3, 2022Posted inComplex Analysis Question: Prove that f(z) = e^z is differentiable at any point z Solution: Given complex values function f(z) = e^z Put z =x+iy f(z) = e^z=e^(x+iy)=e^x e^(iy) f(z) = e^z =e^x(cos y + i sin y)= e^x cos y +… This Question has been answered. Please Login or Register to See The Answer Post navigation Previous Post solved Show that f(z) = |z|^2 is differentiable only at z=0Next Posthow do you find the zeros of cos z