Fiesta 12 | Fall 2009 | Ap Calculus| Www.ilearnmath.net
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iLearnMath.net | AP Calculus | Fiesta 12
2009
Name___________________________ Show all your work for full credit. No graphing calculators are permissible. Problem 1 a) State the definition of an inflection point. b) Discuss f ( x) = 2+sincosx x in as much detail as possible, and then sketch a graph of the function. Problem 2 a) State the Extreme Value Theorem. b) Discuss f ( x) = x tan x −2π < x < π2 in as much detail as possible, and then sketch a graph of the function. Problem 3 a) State the First Derivative Test. 1 x
b) Discuss f ( x) = 1 + +
1 in as much detail as possible, and then sketch a graph of x2
the function. Problem 4 a) State the Second Derivative Test. b) Discuss xy = x 2 + 4 in as much detail as possible, and then sketch a graph of the function.
2009
Name___________________________ Show all your work for full credit. No graphing calculators are permissible. Problem 1 a) State the definition of an inflection point. b) Discuss f ( x) = 2+sincosx x in as much detail as possible, and then sketch a graph of the function. Problem 2 a) State the Extreme Value Theorem. b) Discuss f ( x) = x tan x −2π < x < π2 in as much detail as possible, and then sketch a graph of the function. Problem 3 a) State the First Derivative Test. 1 x
b) Discuss f ( x) = 1 + +
1 in as much detail as possible, and then sketch a graph of x2
the function. Problem 4 a) State the Second Derivative Test. b) Discuss xy = x 2 + 4 in as much detail as possible, and then sketch a graph of the function.
