Limits Definition of Derivative | Instantaneous Rate of Change | Calculus | Monomial Quadratic

In this calculus math example, we apply the limit definition to find the derivative of a monomial 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 function is explained each step of the process as we work through this 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. 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... how to solve limits calculus limits of functions calculus limits and derivatives class 11