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3.2_Product_and_Quotient_Rules

# 3.2_Product_and_Quotient_Rules - Finish problems with Basic...

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Finish problems with Basic Rules in 3.1 3.2 Product Rule For p(x) = f(x)∙ g(x), the derivative p’(x) is given by: p’(x) = f(x) ∙ g’(x) + g(x) ∙ f ’(x) 3.2 Quotient Rule For q(x) = f(x) g(x), the derivative q’(x) is given by: q’(x) = g(x) ∙ f ’(x) – f(x) ∙ g’(x) [g(x)] 2 Consider the function f(x) = 1/x 2 at the point (4,1/16) Find the slope of the tangent line Find the equation of the tangent line Real World Applications f(t) = 0.082t3 + 0.019t2 + 2.7t +2.7 where 0< t< 4 where f(t) is in billions and t is in years with t = 0 corresponding to 1997. A) Find an expression giving the rate of change of the retail rev/yr B) How fast was retail revenue/year from Internet shopping changing at the beginning of the year 2000? C) What was the retail revenue/year from Internet shopping at the beginning of the year 2000? {Give B,C answers as numbers of billions} During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 576 feet. After t seconds, the screwdriver had fallen a distance of s = 16t2 feet.

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3.2_Product_and_Quotient_Rules - Finish problems with Basic...

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