Reflection #14

For this blog I will do a review of something boo koo easy and pretty old, but oh well I’m doin it any way. The product rule and the quotient rule are two formulas that refuse to go away in calculus, so if you not good at them yet, study this blog post!
Product Rule: ( copy 1st ) ( derivative of 2nd ) + ( copy 2nd ) ( derivative of 1st )
Quotient Rule: ( copy bottom ) ( derivative top ) – [( copy top ) ( derivative bottom )] / ( bottom ) ^2
-Hear is an example of the product rule:
g (x) = (3x^2+4) f (x) = (2x^2-3x)
= ( 3x^2+4 ) ( 4x-3 ) - ( 2x^2-3x ) ( 6x )
= 12x^3 - 9x^2 + 16x - 12 - 12x^3 + 9x^2
= 16x – 2
-and the quotient rule:
X – 2 / x^2 + 2
( x^2 + 2 ) ( 1 ) – ( x – 2 ) ( 2x ) / ( x^2 + 2 )^2
-x^2 – 4x + 2 / (x^2 + 2 )^2