高数题:设F(x-y,y-z)=0,求δz⼀δx。 谢谢!

2025-02-23 15:08:06
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回答1:

F(x-y,y-z)=0,求δz/δx
对x求导
F1'(x-y,y-z) (x-y)'+F2'(x-y,y-z) (y-z)' =0
F1'(x-y,y-z) +F2'(x-y,y-z) (-δz/δx)=0
δz/δx=F1'(x-y,y-z) /F2'(x-y,y-z)