Final answer:
To derive an Engel curve from a utility function, follow these steps: identify the utility function, derive the demand function, and plot the demand function on a graph.
Step-by-step explanation:
An Engel curve shows the relationship between the quantity of a good consumed and a consumer's income level.
To derive an Engel curve from a utility function, you need to express the utility function in terms of the good's quantity and the consumer's income. The basic steps to derive the Engel curve are:
- Identify the utility function, which represents the consumer's preferences for the good and income.
- Derive the demand function for the good, which shows how the quantity demanded changes with income.
- Plot the demand function on a graph with quantity on the x-axis and income on the y-axis to obtain the Engel curve.