So in this reflection I will be talking about the biggest thing that we learned this week, which is the Product Rule and the Quotient Rule. To start, here are the formulas in simple terms for these two rules:
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
The quotient rule will work the same way except you are plugging in to that formula, then solving. Remember to carefully do the algebra because it can get really tricky.
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