Well, this past week was review week, so nothing new was covered. I'm pretty sure everyone in the class was pretty stressed over the insane word problem homework, but anyways on to some review stuffz.
Some of the beginning rules of derivatives were the constant rule and the power rule. Those are pretty simple:
Constant Rule: It states that the derivative of any constant is 0. Easy enough, right? WRONG!
Power Rule: This one is also quite simple, the derivative of any number/variable while its by itself is figured out by using the following steps. Take the exponent of the variable/number and bring it to the front and subtract one from the original exponent to form the new one. An example would be:
Ex. Find the derivative of x^y.
First you move y to the front. Then subtract one from y to form the new exponent and you get...
(xy)^y-1
Well those are the simplest ones. Then you have rules like the quotient rule and product rule. Those are also pretty simple.
Quotient rule: When you have a fraction to derive. Take the( bottom(top derivative)-top(bottom derivative))/bottom^2
Product rule: When you derive one thing times another. Take the derivativeoffirst(second)+first(derivativeofsecond)
Those are also pretty easy. You also have many trig rules that I don't even feel like typing. Then theres the chain rule which is like the power rule except you have an equation and you multiply by the derivative of the inside afterwards. Well, I guess thats about it for a simple derivative review. Theres also implicits, rate of changes, other nonsense, and limits on the exam, but you already know that. Now, to go about my regular test ritual and study for it by doing nothing=]
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