Fall+Week+07

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Monday, 9/26
We discussed the Product Rule: If you have two functions, g(x) and h(x), and if f(x)=g(x)h(x), then f'(x)=g'(x)h(x) + h'(x)g(x).





Tuesday, 9/27
We derived the Quotient Rule from our knowledge of the Power Rule: If f(x)=g(x)/h(x), then f'(x)= h(x)g'(x)-g(x)h'(x) / [h(x)]². Because the numerator is not added together, this equation is not commutative, and therefore, this order MUST be maintained. :



We also discovered the derivatives for the rest of the trigonometric functions:


 * __Function__**
 * sinx: cosx**
 * cosx: -sinx**
 * tanx: sec²x**
 * cotx: -csc²x**
 * cscx: -cscxcotx**
 * secx: secxtanx**



[[image:Power_Rule_6.png]]
Derivative Bingo!

Thursday, 9/29
NO SCHOOL!!

Friday, 9/30
NO SCHOOL!!