Average rate of change review (article) | Khan Academy
It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's …
Finding average rate of change of polynomials - Khan Academy
Learn how to calculate the average rate of change of a function over a specific interval. Discover how changes in the function's value relate to changes in x. Use tables and visuals to …
Introduction to average rate of change (video) | Khan Academy
On a position-time graph, the slope at any particular point is the velocity at that point. This is because velocity is the rate of change of position, or change in position over time. Here, the …
Worked example: average rate of change from graph - Khan …
Then, use the slope formula to calculate the average rate of change: m = (y2-y1)/ (x2-x1) Remember, a negative rate of change like -4 used in the video tells you the points must create …
Worked example: average rate of change from equation
So if you want to find your average rate of change, you want to figure out how much does the value of your function change, and divide that by how much your x has changed.
Worked example: average rate of change from table
Finding the average rate of change of a function over the interval -5<x<-2, given a table of values of the function. Created by Sal Khan.
Secant lines & average rate of change (video) | Khan Academy
Learn how to calculate the average rate of change for a function and its connection to the slope of a secant line. Grasp the concept of instantaneous rate of change and its significance in …
Tangent lines and rates of change (article) | Khan Academy
In this section, we will study the rate of change of a quantity and how is it related geometrically to secant and tangent lines.
Sign of average rate of change of polynomials - Khan Academy
Discover how to find the average rate of change in polynomials. Learn to identify intervals with positive average rates of change by comparing function values at different points. See how …
Approximating instantaneous rate of change with average rate of …
So essentially, to approximate the slope of the tangent line, we're going to take the average of these two rates of change right over here, the average of these two slopes.