Derivative Formulas Through Geometry | Essence of Calculus, Chapter 3

Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule.  He shows step by step ways to solve these...

Continue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...

Explaining the distance formula as "an application of the Pythagorean Theorem" might relieve some of your young mathematicians who are scratching their heads at all the new concepts. Sal demonstrates how to take the distance between any...

A geometry video explains how to solve for midpoint, length of a line, and use the Pythagorean Theorem. It includes multiple guided practice problems for all three equations.

What are the most important things about trigonometric derivatives? The 13th video in a series of 31 highlights three important aspects of trigonometric derivatives, the first being the derivatives of sine and cosine. The second is the...

Put another link in the chain. With the aid of the chain rule, the presentation shows how to take the derivative of an arcsin function with a binomial argument. The 15th video in a 31-part series goes on to work through the...

Go beyond the basics with exponential functions. Using a function that contains an exponential function, the video shows the steps involved in finding its derivative. The 20th installment in a series of 31 uses an example with the...

Trig provides assistance in finding the derivatives of hyperbolic functions. The presentation provides an example of finding the derivative involving hyperbolic functions. Using the chain rule, the video finds the derivative of a...

Break the chain in finding derivatives of trigonometric functions. The short video provides a demonstration of finding the derivative of a trigonometric function where the argument is a function. The 12th video in a series of 31 focuses...

Formulas don't appear from thin air! Learn how to derive the quadratic formula by completing the square. As the video instructor demonstrates each step of the derivation, the quadratic formula begins to emerge until it is complete in the...