、函数的和差积商的求导法则 定理如果函数u(x),v(x)在点x处可导,则它 们的和、差、积、商分母不为零在点x处 也可导,并且 (1)[u(x)±v(x)=u(x)±v(x); (2)[u(x)·v(x)=u(x)v(x)+u(x)v(x); (x)_u(x)v(x)-u(x)(x) (3)[ (v(x)≠0) v(x) v x Economic-mathematics 31-9 Wednesday, February 24 2021Economic-mathematics 31 - 9 Wednesday, February 24, 2021 定理 也可导 并 且 们的和、差、积、商 分母不为零 在 点 处 如果函数 在 点 处可导 则 它 , ( ) ( ), ( ) , x u x v x x ( ( ) 0). ( ) ( ) ( ) ( ) ( ) ] ( ) ( ) (3)[ (2)[ ( ) ( )] ( ) ( ) ( ) ( ); (1)[ ( ) ( )] ( ) ( ); 2   −   =   =  +    =    v x v x u x v x u x v x v x u x u x v x u x v x u x v x u x v x u x v x 三、函数的和差积商的求导法则