In this lesson, we learn about determining the difference quotient. To do this, we need to evaluate a function at two different terms, subtract them, and then divide by h, where h cannot equal 0. We go through an example using the function alpha-backs, which is equal to x squared minus x plus 1. After evaluating the function for 2 plus h and 2, we simplify the equation and end up with the final answer of h plus 3 when h cannot equal 0. This lesson provides a great introduction to the concept of difference quotient.
Determining the Difference Quotient
I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.
Questions answered by this video:
What are they asking for in f(2+h)- f(2)?
Why is it important to write xâ 0 ?
Currently 3.0/5 Stars.
Good on the whole.
But at the last step I would prefer a factorisation of
the numerator to precede the 'cancellation' or simplification with the denominator.