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Test Two Topics
Derivatives using Generalized Power Rule/ Chain Rule
Equation of a Tangent Line
Higher Order Derivatives
Marginal functions
Elasticity of Demand
Velocity and Acceleration
Critical Numbers
From a graph or f(x) = ______, determine : Intervals where a function
Increases or Decreases or is Concave Up or Concave Down
Local Max and Local Min and Points of Inflection
Absolute Max and Absolute Min
Applications: Profit, Traffic flow, Efficiency of workers
1.Find the derivative:
___________
f(x) = √(2x
4
+ 4x 4)
2. Find the derivative:
f(u)
= (3u
2
+ 4u +5)
(8/7)
3. Find the first and
second derivatives:
Where f(x) = 3x
5
+ 4x
3
+5x – 6
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View Full Document4. The demand equation for a hair dryer is given by
x = (363/7) – (1/7)p
2
where x is the quantity and p is the unit price in dollars.
Note: the elasticity of demand at price p is given by
E(p) =
(2p
2
)__________
7(363/7 – 1/7p
2
)
At p = 10, the
demand is __________
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 Spring '08
 VAUGHN
 Math, Calculus, Chain Rule, Derivative, Power Rule

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