Lesson Exchange: Maxima-Minima (Differential Calculus) (Senior, Mathematics)

Are your calculus pupils aware that they are standing on the shoulders of giants? This lesson provides a big picture view of the connection between differential and integral calculus and throws in a bit of history, as well. Note: The...

Students explore the concept of differential calculus.  In this differential calculus lesson, students use the derivative definition as h approaches zero to find the derivative of quadratic and 4th degree functions.  Students use their...

This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...

Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based activity helps them keep it in check! The second activity in a three-part series asks learners to analyze the rate of change of...

Explicitly explain how to use implicit differentiation. Using a trigonometric function defined using y and x, the resource works through an example of implicit differentiation to explain the process. The 19th video in a 31-part series...

Sal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...

Sal starts an explanation of limits by looking at a basic example of a discontinuous function and takes a more intuitive point of view before looking at a formal mathematical definition in later videos.  He starts by introducing the...

Before solving any problems, Sal gives an overview of what happens to the slope, first derivative, and second derivative at local maxima and minima to give the viewer a more intuitive feel for these types of problems.

In a problem where you are not given the original function, but rather only three known points on the graph and a few additional pieces of information about when the first and second derivatives are positive or negative, Sal shows how...

The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...