Study Guide

Second Derivatives and Beyond Topics

Second Derivatives via Formulas

When we take the derivative of a differentiable function f, we end with a new function f '....

Third Derivatives and Beyond

We're learning calculus, so, by definition, we're in the prime of our lives. Things are great....

Concavity

The slope or derivative of a function f describes whether f is increasing, decreasing, or...

Special Points

Special points are those random points awarded to the guy who invited us over to play board...

Extreme Points and How to Find Them

The maximum value of the function f (x) = -x2 – 1 is y = -1:The maximum value of...

Local vs. Global Points

Sometimes we take vacations. Sometimes we take stay-cations. Second derivatives can be used to...

Using Derivatives to Draw Graphs

The goal of this section is to be able to go from a formula of a function to an accurate graph of...

In the Real World

Calculators are good at graphing functions. However, calculators can only show a useful graph if...