Chapter42008

Calculus: Early Transcendental Functions

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Chapter 4 Test October 27, 2008 Name 1. Find the x - coordinate H s L of the absolute maximum of f H x L =- 3x 4 - 4x 3 + 12x 2 + 2 Justify your answer. 2. f H x L = x 1 ÄÄÄ 3 H 2 - x L Find all critical values from the second derivative for this function H x - values only, and these would be potential points of inflection L . 3. f H x L = sinx cosx Use the Second Derivative Test to find all local extreme values H x - values only L for the function on the interval @ 0, 2 p D 4. f H x L = tan - 1 H 2 x L Find the number H s L c that satisfies the Mean Value Theorem on the interval A - è!!!! 3 ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ 2 , 3 ÄÄÄÄÄÄÄÄÄÄÄÄ 2 E H don ¢ t worry if the answer looksunsimplified, just make sure you solve for c L .
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5. f H x L = log 2 » x 2 - 4 » Find where the function is increasing and decreasing on its domain. 6. f H x L = x 2 + 3 x + 3I f x 1 =- 1, use Newton ¢ s Method to find x 2 and x 3 . 7. If f H x L = x H 2 2 x L , then find where the graph of f H x L is concave up and concave down on the interval H -• , L .
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Chapter42008 - Chapter 4 Test October 27, 2008 1. Find the...

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