Brought to you by mathematical induction.
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hahah I'm going to use that
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so (f + g)^n ?
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This is why nth derivative superscript notation is bad. The added parentheses do not help that much.
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The product rule is basically just the distributive law, where you look at certain degrees of change you want.
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This is actually a super useful thing, and I believe it’s an underpinning of the first-order accuracy of calculus.
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Proof by induction ;)
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