Implicit Differentiation

Use the natural logarithm to simplify differentiation. The 22nd resource in a series of 31 provides an example of a problem that would be best differentiated by using logarithms. The presenter takes the natural logarithm of both sides....

Demonstrate working an initial value problem with an AP Calculus video that verifies that a family of functions is a solution to a differential equation by substitution. The presentation goes on to find a particular solution that...

Ap Calculus classes learn how to solve a differential equation by getting like variables together with a video that presents an example of how to solve a differential equation by using the method of separation of variables. The...

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...

The inflection point, the point where the second derivative is zero, is the focus of a video  that works through a problem where it is not obvious to see the roots of a function. The solution to the problem requires using...

Model for class members how to find both a first and second derivative of a trigonometric function with a video tutorial that works through a problem that uses the Quotient Rule to evaluate the derivative. The instructor shows the steps...

Using a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem...

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...

Finding area using rectangles—isn't that a little too simplistic for a calculus course? Viewers learn how to approximate area under a curve using rectangles in the first installment of a seven-part video series on the definite integral....

Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...