Fall+Week+07

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Monday, September 26


We did these to find a pattern.

This is how we proved that h'(x) does not equal f'(x)g'(x)



Tuesday, September 27
We started with a review of the Product Rule:

The answer:

A hidden quotient rule problem:

Answer:

This is the actual derivation of the quotient rule (I'd like to add a little shout out to Ryan Strat for deriving the equation by himself): Also, Ms. Gentry mentioned that instead of thinking of the equations as g(x) and h(x), she liked to think of them as the top or bottom equation. Note how problem 2 could have been rewritten as y= (1+x^2)/(1-x^2)

Use the quotient rule to derive the rest of the trig equation derivatives (you are now responsible for knowing the function and its derivative - and the derivative and its function)