122導數(shù)的計算(復合函數(shù)的導數(shù))(完整版)
【正文】 和可以看作函數(shù)函數(shù)?????????xuuyxy由復合函數(shù)求導法則有39。 39。x u x39。 39。2239。 u 39。xyxxxeee? ? ? ???39。x u x又y = y u39。39。39。39。若f ( x ) = c ，則f ( x ) = 0若f ( x ) = x ，則f ( x ) = n x若f ( x ) = s i n x ，則f ( x ) = c o s x若f ( x ) = c o s x ，則f ( x ) = s i n x若f ( x ) = a ，則f ( x ) = a若f ( x ) = e ，則f ( x ) = e1若f ( x ) = l o g x ，則f ( x ) =xlna1若f ( x ) = l n x ，則f ( x ) =x導數(shù)的運算法則 : 法則 1:兩個函數(shù)的和 (差 )的導數(shù) ,等于這兩個函數(shù)的導數(shù)的 和 (差 ),即 : ? ?( ) ( ) ( ) ( )f x g x f x g x? ??? ? ?法則 2:兩個函數(shù)的積的導數(shù) ,等于第一個函數(shù)的導數(shù)乘第二個函數(shù) ,加上第一個函數(shù)乘第二個函數(shù)的導數(shù) ,即 : ? ?( ) ( ) ( ) ( ) ( ) ( )f x g x f x g x f x g x? ????法則 3:兩個函數(shù)的積的導數(shù) ,等于第一個函數(shù)的導數(shù)乘第二個函數(shù) ,減去第一個函數(shù)乘第二個函數(shù)的導數(shù) ,再除以第二個函數(shù)的平方 .即 : ? ? 2( ) ( ) ( ) ( ) ( ) ( ( ) 0 )() ()f
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