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Unformatted text preview: f ′ ( x ). (b) (5 points) Compute the equation oF the line tangent to f ( x ) at x = 4. 4. Calculate y ′ ( x ) (7 points each): (a) y = 2( x1) 3 + √ 5 x1 (b) y = x 2 cos( x + 2) (c) y = x + 1 1x (d) y = 1 sin( xcos( x )) 5. (12 points) Use implicit diferentiation to calculate y ′ ( x ): x tan(3 y ) = x 2 y + xy 21 6. (a) Use intermediate value theorem to show that f ( x ) = 2 x 34 x 25 x + 4 = 0 has a root in the interval [0 , 2]. (6 points) (b) Show that f ( x ) = 0 has another root. (6 points)...
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 Fall '08
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 Calculus, Continuous function, A Closed Book, Midterm Exam Calculus

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