Comparing Root-finding Methods

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...

Get to the root of the problem with an instructive lesson! Learners find the roots of a function using the quadratic formula. A video shows the process and includes an explanation of the substitution steps. 

Connect domains of functions to continuity with a video that first shows how to find the domain of a cube root function. It then explains how this domain relates to the continuity of the function.

Conjugation isn't just for English class. Viewers learn how to use the conjugate method to determine limits in the video. They see how to simplify functions and then use substitution to evaluate the limit.

Root for those learning about roots. An installment of an extensive playlist covering derivatives focuses on using linear approximations to estimate roots. The example problem shows how to find the fourth root of 15 without a calculator.

Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.

Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...

In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas.  Then, they discuss what makes a solution complex and how to identify functions with complex roots.

Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...

Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...