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All published worksheets from http://sagenb.org

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x1,y1,x2,y2,gSqDist12=var('x1,y1,x2,y2,gSqDist12');
E1=((x1-x2)^2 + (y1-y2)^2 - gSqDist12)^2
diff(E1,x1)
4*(x1 - x2)*((y1 - y2)^2 + (x1 - x2)^2 - gSqDist12)
diff(E1,x2)
-4*(x1 - x2)*((y1 - y2)^2 + (x1 - x2)^2 - gSqDist12)
diff(E1,y1)
4*(y1 - y2)*((y1 - y2)^2 + (x1 - x2)^2 - gSqDist12)
diff(E1,y2)
-4*(y1 - y2)*((y1 - y2)^2 + (x1 - x2)^2 - gSqDist12)