# ws_7 - x if any where f x has a local minimum b local...

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Mathematics for Engineers I (Math103). .. student-intranet/faculties/math/ 2008 - Fall/math103 Class Work Sheet 7 1 . 1. Graph each of the following functions: (a) f ( x ) = x 3 3 x + 3 (b) f ( x ) = x 4 2 x 2 (c) y = x ( x 2 5) 2 (d) y = x + sin x , 0 x 2 π (e) y = x 8 x 2 (f) y = | x 2 1 | (g) y = x +3 x +2 (h) y = 8 x 2 4 (i) y = x 3 1 x 2 1 (j) y = 2 + sin x x (k) y = x 2 3 2 x 4 (l) y = x 3 +1 x 2 (m) y = 4 x x 2 +4 (n) y = x 2 x +1 1 prepared by: Hany El-Sharkawy using “L A T E X2 ε 1

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2. The graph of the derivative f ( x ) of a function f ( x ) is given. Find all values of
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Unformatted text preview: x , if any, where f ( x ) has: a) local minimum b) local maximum c)in±ection point. 2 3. Referring to the given graph of f ′ ( x ). Replace “? ” by “ < ”, “ = ”, or “ > ”: a) f (0) ? f (1) b) f (1) ? f (2) c) f ′ (0) ? 0 d) f ′ (1) ? 0 e) f ′′ (0) ? 0 f) f ′′ (2) ? 0 3...
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ws_7 - x if any where f x has a local minimum b local...

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