in calculus we have been reviewing over alot of old material preparing for our third weeks exam. I hope i do well on it. We are aslo still working on something called an ALEKS and its helping me rememeber a lot of old stuff that i might of forgotten. In calc though i will go over the product and quotient rule bc it will be on our exam.
Product Rule: ( copy 1st ) ( derivative of 2nd ) + ( copy 2nd ) ( derivative of 1st )
Quotient Rule: ( copy bottom ) ( derivative top ) – [( copy top ) ( derivative bottom )] / ( bottom ) ^2
-Product Rule Ex :
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
-Quotient Rule Ex :
x– 2 / x^2 + 2
( x^2 + 2 ) ( 1 ) – ( x – 2 ) ( 2x ) / ( x^2 + 2 )^2
-x^2 – 4x + 2 / (x^2 + 2 )^2
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