Скачать или смотреть Limits and Derivatives | Instantaneous Rate of Change | Calculus | Quadratic Trinomial

In this calculus math example, we use the limit definition to find the derivative of a trinomial quadratic function. Then we use the derivative to find the instantaneous rate of change of the function at a given value of x. How to solve the limit of the difference quotient is explained with each step of the process talk through as we work through this difficult calculus example. Most of the process involves correctly filling into the derivative formula and then being careful with our algebra skills as we distribute first and then combine like terms to simplify our numerator. Factoring out the common factor of h is very common on this type of problem, then evaluating by replacing h with 0. Finally, the derivative is evaluated at the given value of x to get the instantaneous rate of change for our function.

This video contains examples that are from Business Calculus, 1st ed, by Calaway, Hoffman, Lippman. from the Open Course Library, remixed from Dale Hoffman's Contemporary Calculus text. It was extended by David Lippman to add several additional topics. The text is licensed under the Creative Commons Attribution license. http://creativecommons.org/licenses/b...

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