This weekend, i kind of got lost in the days. So, we started the uno thing this week and didn't really learn much, so i'm reviewing the basics.
Product and quotient rules:
Product Rule:[f(x)g(x)]=f(x)g1(x)+g(x)f1(x)
Quotient Rule:[f(x)/g(x)]= g(x)f1(x)-[f(x)g1(x)]/g(x)2
The product and quotient rules are pretty simple.
All you do is plug into them.
Ex 1. [(x2+4)(x-2)]=(x2+4)(1)+(x-2)(2x)=(x2+4)+(2x2-4x)=3x2-4x+4
Ex 2. [(x2+4)/(x-2)]=(x-2)(2x)-[(x2+4)(1)]/(x-2)2=2x2-4x-x2-4/(x-2)2=x2-4x-4/(x-2)2=(x-4)(x+1)/(x-2)2
The last thing we went over was taking the 2nd and 3rd derivative; all you do is take a derivative two or three times. Second and third derivative are represented like say g-prime or g', but instead of ', it is '' or '''-> g'' or g'''.
Ex 1. y''[x2]; y'=2x; y''=2
Ex 2. y'''[x2]; y'=2x; y''=2; y'''=0
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