NEKG33 Mathematical methods for economists

Chapter 17 : Day 17: More on derivatives

By Lund University

No point postponing it - we must do the full definition of the derivative. With some limit-skills, this should work out fine. In addition to this, we will do the chain rule which will allow us to differentiate more complex functions.

More on derivatives

The first, third and fourth lecture are reviews. Lecture 2, on the formal definition of a derivative as the limit of the Newton quotient, is new. The final lecture is on the very important chain rule where we use the fact that more complex functions can be written as a composition of simpler functions.

Introduction to derivatives

Derivatives

Rules for differentiation

Derivatives and its relationship to increasing and decreasing functions

Chain rule

More on derivatives: Problems

Exercises on derivatives

Problem: Find the derivative using the definition

Problem: Find the derivative using the definition and the equation of the tangent

Problem: Determine when a function is increasing/decreasing

Problem: Determine when a function is increasing

Problem: Differentiate using the chain rule

Problem: Differentiate function

Problem: Compute derivatives

Problem: Compute derivatives

Problem: Determine when a function is increasing

Problem: Find derivatives