# Cauchy-Riemann Equations: Definition & Examples

Instructions:

question 1 of 3

### The complex function f(z) is given by x2 - y2 + i 2xy. The real part is u(x,y). What is the partial derivative of u with respect to x?

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### 2. If the Cauchy-Riemann equations are true, then the derivative of f(z) is _____.

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For this interactive quiz and worksheet combo, you are asked about the concept of Cauchy-Riemann equations. Questions will focus on partial derivatives as well as the existence of a derivative in a given equation.

## Quiz & Worksheet Goals

You will see the following topics in the questions of the quiz:

• Finding a partial derivative
• Derivatives of a function when Cauchy-Riemann equations are true
• The existence of a function's derivative
• Making comparisons in Cauchy-Riemann equations

## Skills Practiced

• Information recall - remember what you have learned about partial derivatives
• Problem solving - use what you know to solve practice problems and find partial derivatives