Finally a direct rule! The power rule is officially my favorite. Section 3.1 wasn't too terribly difficult. It was more exciting to have more rules to use so that taking derivatives is more efficient. But what i did have some difficulty with was trying to understand how derivative of ln(x) = 1/x. Is there a proof to show how this is true or came about? I just don't like to use rules if i don't understand how it works.
As a whole the class may have trouble with the behaviors of the original function and the derivative. for example Monday's NYT about what f'(x) can tell about f(x) not everyone could understand what happens from one range of values to another. (increase,decrease, no change) So perhaps before we step forward into analyzing more complex functions.
until next time
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