definition
A function is increasing , will also increase The quantity , then we are called than to function The average change rate of the increment is .
Formula
Note: High school mathematics textbook mentioned, displacement The derivative of time is speed, then according to physics formula , in this formula (constant function, primary function, secondary function), the average change rate formula can also be written () Different in in equal to and ), / p> 1 constant function: For general , first calculate the original formula, ; according to another way, , The two results are equal and established.
2 function: For general , first calculate the original formula, ; according to another way, , The two results are equal and established.
3 Quadratic function: For general , first calculate, ; , The two-type results are equal, and it is founded.
Application
Observing the rate of change of stocks
We can use the average change rate knowledge, ask a stock in some The average change rate of the time period is thus understanding the trend of stocks and the future trend.
To make a lottery
for the learning derivative is a very important knowledge point in the calculus. The derivative can be understood as the limit of the average change rate when is . You see, the derivative is actually the limit of the average change in incrementation to 0, is we first learn to learn average change rate?
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