Quotient Rule
The Quotient Rule
Leibniz's notation
Newton's notation
simple talk
A.1: Use the quotient rule to find the following
A.2: Find the following using Newton's notation.
A.3: Find the following using Leibniz's notation.
A.4: Find y'
A.5: Gnadenhutten must purify its drinking water. If the cost of purifying a gallon of water to a purity of x percent is
dollars for 80 < x < 100, find the rate of change of the purification costs when the purity is 92% and 98% and interpret your answers.
Quotient Rule - Practice
Find the derivative of each function.
Amp'd
10) The number of bottles of Amp Energy drink that college students will buy in a month at a price of p dollars per bottle (for p > $0.50) is
Find the rate of change of bottles purchased when the price is $2 and interpret your answer.
EPA
11) According to the EPA, the mpg of subcompact cars is
where v is the speed in miles per hour (for 35 < v <65).
a. Find mpg'(v)
b. Find mpg'(45), mpg'(55), and mpg'(65) and interpret your answers.
Selected Answers.
1.
3.
5.
7.
9.
10.
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