The Difference Quotient – Example 2
In this video, we delve deeper into understanding the difference quotient by working through a new example involving a quadratic function. The difference quotient is a foundational concept in calculus, often seen as a stepping stone to understanding derivatives. Here, we will break down the steps to find the difference quotient for f(x) = 2x^2 − x + 5 and simplify the resulting expression.
What You Will Learn:
1) The formula for the difference quotient: f(x+h)−f(x)
2) How to apply the difference quotient to a quadratic function.
3) Step-by-step simplification of the difference quotient expression.
4) Insights on why the difference quotient is crucial in understanding the concept of rates of change.
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