math1431 Test+Two+Topics

math1431 Test+Two+Topics - Test Two Topics Derivatives...

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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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4. 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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math1431 Test+Two+Topics - Test Two Topics Derivatives...

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