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Average change rate



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. Average change rate

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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