类型四 >复合关系图
类型四 ➢复合关系图 u x t ty
类型 一u=f(x)x=p,t)→u=f(p(s,t) 一u=f(x,y) 8 →a=fx,0)F0 多元复合函数 一u=f(x,y) →u=fxs,),s,=Fs,) 一u=f(x,y,t) x=o0一u=jo@uy0.)F0 (y=v(t) 一u=f(x,y,2)2=0(x,y)→u=f(x,y,0(x,y》=F(x,y)
类型 多元复合函数 u = f ( x ) x = ( s , t ) u = f (( s , t)) == = ( ) ( ) ( , ) y y t x x t u f x y u f ( x ( t), y ( t)) F ( t ) = = ( , ) ( , ) ( , ) x x s t u f x y y y s t = = = u f x s t y s t F s t ( ( , ), ( , )) ( , ) = = == = ( ) ( ) ( , , ) y t x t u f x y t u f ( ( t), ( t), t ) F ( t ) = = u = f ( x, y,z ) z = ( x, y ) u f ( x, y, ( x, y)) F ( x, y ) = =