Today we introduced two more rules for finding derivatives of functions. Previously we have seen (seemingly silly) rules for finding the derivatives of sums or differences. The derivative of a function that was defined as a sum (f(x) = a(x) + b(x)) is simply the sum of the derivatives (f'(x) = a'(x) + b'(x)). Similarly for differences.
It turns out the patterns for products and quotients are a little more complicated. I am opting not to show you where the formulas come from, but you are certainly encouraged to look up the proofs in your text.
Notes from class today include the Product Rule, the Quotient Rule and several worked examples.
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