NEKG33 Mathematical methods for economists

Chapter 7 : Day 07: Higher order derivatives

By Lund University

Derivatives are fun so let's go one step further and do derivatives of derivatives. Convex and concave functions will also fit nicely into todays program.

Higher order derivatives

By differentiating the derivative of a function we get what is called the second derivative. The same idea can be extended to higher order derivatives. In this section we also look at the relationship between second derivatives and whether the function is convex or concave.

Higher order derivatives

Derivatives and its relationship to convex and concave functions

Problem: Compute second derivatives

Problem: Compute second derivative

Problem: Compute higher order derivatives

Problem: Find first and second order derivatives

Problem: Find first and second order derivatives