一些微分的近似计算公式

阮一峰

以下的未知数皆代表一个很小的数,一般来说,小于0.05,等式中的等号皆代表“约等于”。

  1. (1+x)(1+y)=1+x+y
  2. (1+x)2=1+2x
  3. (1+x)n=1+nx
  4. (1+x)/(1+y)=1+x-y
  5. 如果z=xy,那么gz=gx+gy
  6. 如果z=x/y,那么gz=gx-gy

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