Search results
17 kwi 2021 · Find the average rate of change in calculus and see how the average rate (secant line) compares to the instantaneous rate (tangent line).
In this section we look at some applications of the derivative by focusing on the interpretation of the derivative as the rate of change of a function. These applications include acceleration and velocity in physics, population growth rates in biology, and marginal functions in economics.
17 sie 2024 · Calculate the average rate of change and explain how it differs from the instantaneous rate of change. Apply rates of change to displacement, velocity, and acceleration of an object moving along a straight line. Predict the future population from the present value and the population growth rate.
21 sty 2022 · Give an example of a function that has the same average rate of change no matter what interval you choose. You can provide your example through a table, a graph, or a formula; regardless of your choice, write a sentence to explain.
If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
16 lis 2022 · Example 1 Find the tangent line to \ (f\left ( x \right) = 15 - 2 {x^2}\) at \ (x=1\). Show Solution. We know from algebra that to find the equation of a line we need either two points on the line or a single point on the line and the slope of the line.
A rate of change describes how the output quantity changes in relation to the input quantity. The units on a rate of change are output units per input units. Some other examples of rates of change would be quantities like: A population of rats increases by 40 rats per week. A barista earns $9 per hour (dollars per hour)
