• 06 Product Rule proof
(f(x)·g(x))▽x = ｢(f(x+h)·g(x+h)−f(x)·g(x))/h :h⨠0｣ = ｢(f(x+h)·g(x+h)−f(x+h)·g(x)+f(x+h)·g(x)−f(x)·g(x))/h :h⨠0｣ ┅ −f(x+h)·g(x)+f(x+h)·g(x) inserted ┅ = ｢(f(x+h)·g(x+h)−f(x+h)·g(x))/h :h⨠0｣ + ｢(f(x+h)·g(x)−f(x)·g(x))/h :h⨠0｣ ┅ split up into two limits ┅ ...
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