2. Functions of a Complex Variable

Differentiability — Quiz

Test your understanding of differentiability with 5 practice questions.

Practice Questions

Question 1

Which limit defines the complex derivative of $f$ at $z_0$?

Question 2

What is the derivative of $f(z)=z^2+3z+1$?

Question 3

For $f(z)=u(x,y)+iv(x,y)$, which pair of equations are the Cauchy-Riemann equations?

Question 4

Which function is not complex differentiable at any point of $\mathbb{C}$?

Question 5

If a function is complex differentiable at a point $z_0$, which statement must be true?