Unit+3

=Unit 3 Derivatives=

what is a derivative? []

[|Lesson 2: The Power Rule] [|Lesson 3: The Product Rule] [|Lesson 4: The Quotient Rule] [|Lesson 5: The Chain Rule]

Position, velocity, acceleration []

Derivative Puzzle [|http://www.univie.ac.at/future.media/moe/galerie/diff1/diff1.html#ableitung] =Derivatives=

Unit Overview
The pain reliever acetaminophen relieves pain with few side effects. However, it is toxic in large doses. One study found that only 30% of parents who gave acetaminophen to their children could accurately calculate and measure the correct doses. One rule for calculating the dosage (mg) of acetaminophen for children ages 1 to 12 years old is D ( t ) = 750 t /( t + 12), where t is age in years. What is an expression for the rate of change of a child's dosage with respect to the child's age? How does the rate of change of the dosage relate to the growth rate of children? This problem can be solved with the information covered in Section 3.4.