
10.6.22 Analytic functions
Condition: Check the fulfillment of the Cauchy-Riemann conditions and, if they are satisfied, find the derivative of the function \( f(z)=(1+i) \bar{z} \).
Differentiation of analytical functions, finding their real and imaginary parts, finding the number of roots of complex equations using the argument principle, Roucher's theorem and much more in this section.