10.6.28 Analytic functions
condition: Calculate the derivative \( d w / d z \) at the point \( z_{0} \) (in algebraic form). \[ w=\frac{z^{3}}{z^{2}+2}, \quad z_{0}=1+2 i \]
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.