偏微分を積分しよう

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• Offline Activity (.zip)

• GeoGebra Files

  1. 全微分df=0。(6x+3y+5)dx+(3x-4y +3)dy=0 (.ggb)
     
  2. 全微分df=0。(x^3+3xy^2)dx+(3x^2y+y^3)dy=0 (.ggb)
     
  3. 積分因子でdf=0。(1-xy)dx+(xy-x^2)dy=0 (.ggb)
     
  4. f(x,y)=3x^2+5x+3xy-2y^2 +3yの勾配grad (.ggb)
     
  5. f(x,y)=1/4(x4+6x2y2+y4)の勾配grad (.ggb)
     
  6. f(x,y)=log|x|+1/2y^2-xyの勾配grad (.ggb)