Exam21 - Exam #2, version 1 Math 2313, Calculus I Spring...

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Exam #2, version 1 Math 2313, Calculus I Spring 2009 For problems 1 – 4, circle the best answer. 1) [2 pts] To apply Rolle’s theorem, the function must be a) continuous and differentiable on an interval. b) continuous, but not differentiable c) differentiable, but not continuous d) neither---Rolle’s theorem can always be applied. 2) [2 pts] What is the derivative of = fx secx ? a) sec2x b) - csc2x c) secxtanx d) - cscxcotx e) f) g) h) 3) [2 pts] What type of function will always have either an absolute maximum or an absolute minimum? a) b) A linear function c) A quadratic function d) A cubic function e) A rational function f) g) h) i) 4) [2 pts] What is the derivative of = fx cos3x ? a) b) = fx sin3x c) =- fx sin3x 1
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= fx 3sin3x e) =- fx 3sin3x f) g) For the remaining problems read directions carefully and show all work. h) 5) Find the first derivative for each of the following functions: a) b) [4 pts] = + fx x3x 1 c) d) e) f) g) h) i) j) k) l) m) [4 pts] = + fx sin2x cos2x n) o)
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Exam21 - Exam #2, version 1 Math 2313, Calculus I Spring...

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