导数是AP微积分中的一个难点,想要学好导数就要对于导数的图像、求导公式都要熟记于心了。如果同学们对于这部分还不熟练或者想要了解更多有关AP微积分导数图像知识点,赶紧来看看本期给大家准备的内容吧!
The derivative of is given by
provided the limit exists.
The function is said to be differentiable at every for which this limit exists, and its derivative may be denoted by
, and
The second derivative, denoted by , is the derivative of
Higher-order dirivatives can be denoted ,
The fraction represents the average rate of change of
;
is the instantaneous rate of change of
.
The upper functions are differentiable at ;
The lower functions are not differentiable at ;
Conclusion:
Suppose is composite function , where
and
are differentiable functions. Then
以下给大家带来几道有关AP微积分导数的题目,来看看你会不会做吧
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筑梦牛剑/G5/常春藤