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@mrweathers @0skarHenriksson Well, ultimately the issue is that the illustration is of Δ(fg) e.g. the change in actual area, not (fg)' e.g. the rate of change of the area. I think f'g'≈0 might be a hard sell, because it goes a little beyond handwaving.On twitter.com
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@mrweathers @0skarHenriksson But ultimately you need to do what makes sense in the context of your class so far.Permalink On twitter.com
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@mrweathers @0skarHenriksson You can cheat by using differentials which may be more familiar. d(fg)=d(f)g+fd(g)+(df)(dg) d(fg)/dx=(df/dx)g+f(dg/dx)+(df/dx)(dg), and toss dg because it's vanishing to 0.Permalink On twitter.com