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设方程x的z次方等于z的y次方确定隐函数z=z(x,y)求全微分dz
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非常荣幸为您解答,如果函数z=f(x, y)在点(x, y)处可微分,则其全增量可以表示为Δz=AΔx+BΔy+o(ρ),其中A、B不依赖于Δx, Δy,仅与x, y有关,ρ趋近于0(ρ=√[(Δx)²+(Δy)²]),此时称函数z=f(x, y)在点(x, y)处可微分,AΔx+BΔy称为函数z=f(x, y)在点(x, y)处的全微分,记为dz即dz=AΔx+BΔy。
咨询记录 · 回答于2024-01-26
设方程x的z次方等于z的y次方确定隐函数z=z(x,y)求全微分dz
亲亲,非常荣幸为您解答![](https://s.bdstatic.com/common/openjs/emoticon/img/face_02.png)
如果函数z=f(x, y)在点(x, y)处可微分,则其全增量可以表示为Δz=AΔx+BΔy+o(ρ),其中A、B不依赖于Δx, Δy,仅与x, y有关,ρ趋近于0(ρ=√[(Δx)²+(Δy)²]),此时称函数z=f(x, y)在点(x, y)处可微分,AΔx+BΔy称为函数z=f(x, y)在点(x, y)处的全微分,记为dz即dz=AΔx+BΔy。
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