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Unformatted text preview: Name: ______________ Test #2 Limits, Continuity & Derivatives Find the derivative of the following functions: 1. f x = x 10 2. g x = 1 x 3 3. y = e x f ' x = 10 x 9 g ' x = 3 x 4 = 3 x 4 y' = e x 4. h x = 25 5. f t = ln t 6. f x = 12 x h' x = f ' t = 1 / t f ' x = 6 x = 6 x 1 / 2 7. f x = 3 x 8. V x = 2 9. r s = log 5 s f ' x = 3 x ln 3 V ' x = r ' s = 1 log 5 s ln 5 10. f x = x ln x x 11. y = 5 x 3 x 2 2 x 12. P t = ln t 3 f ' x = ln x y' = 5 x 2 2 x 2 x 2 5 x 3 x 2 2 x 2 P ' t = 3 t = 3 1 t y' = 5 x 2 6 x 6 x 2 2 x 2 Find the indicated limit of the functions: For #13 and #14, let f x = { 9 x 2 3 x x 0 AND x 3 9 x 2 3 x x a x = 3 13. Find lim...
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 Spring '08
 STAFF
 Continuity, Derivative, Limits

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