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test 3 sols

# test 3 sols - Name Test#3 Part I(40 points Find the...

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Name: _______________________ Test #3 Part I (40 points) Find the derivative: 1. Find f ' x for f x = e x  x 2 5 3 f ' x =− e x  6 x  x 2 5 2 2. Find y' for x 2 y 2 = 1 y' =− xy 2 x 2 y =− y x 3. Find dy dx for x e y y = x 2 2 dy dx = 2 x e y xe y 1 Find the limit 4. lim x ∞ x 1 2 x ln x lim x ∞ x 1 2 x ln x = lim x ∞ 2 x 1 ln x  1 = lim x ∞ 2 1 / x =∞ 5. lim x 3 ln x 2 3 x 1 2 x 6 lim x 3 ln x 2 3 x 1 2 x 6 = lim x 3 2 x 3 x 2 3 x 1 2 = lim x 3 2 x 3 2 x 2 3 x 1 = 3 2

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Part II (40 points) 6. A function has the following properties: x (-∞,a) a b c d e (e,∞) f '( x ) + + + 0 und. 0 + + + f ''( x ) + 0 und. + + + 0 lim x −∞ f x = 0 and lim x ∞ f x =∞ A) List all critical points for the function
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test 3 sols - Name Test#3 Part I(40 points Find the...

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