文档介绍：AP CALCULUS Derivative
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A DERIVATIVE FUNCTION
The derivative function or sAP CALCULUS Derivative
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A DERIVATIVE FUNCTION
The derivative function or simply the derivative is defined as
＝＝
Find the derivative function
Find ,
Find the average rate of change ,
Find the limit .
Geometric significance
Consider a general function y=f(x), a fixed point A(a,f(a)) and a variable point B(x,f(x)). The slope of chord AB=.
Now as BA, xa and the slope of chord ABslope of tangent at A.
So, is .
Thus, we can know the derivative at x=a is the slope of the tangent at x=a.
Rules
C(a constant)
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AP CALCULUS Derivative
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The chain rule
If where then .
,
6. Inverse function, Parametric function and Implicit