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Unformatted text preview: x>3 x 2 ::3 5. (12 points) Use the definition of the derivative to find j'(x) if f(x) = x 2 + x. 4 4 6. (11 points) Find an equation of the tangent line to the curve y = x2x: 3 + 3x  4 when x=1. 7. Find the derivative y' of the following functions: (a) (5 points) y = 2 2 " (b) (5 points) y = log2(x 2 + 1) (c) (5 points) y = (~~=~t 5 4 8. Let f(x) = x2x 2 + 4 be the given function. (a) (5 points) Find the intervals where the function f is decreasing or increasing. (b) (5 points) Find the intervals where the function f is concave up or concave down. (c) (5 points) Find relative maxima and minima of f. 9. Find the indefinite integrals for the following functions: 4dx (a) (5 points) .r x 6 (b) (5 points) J3e xdx 10. (12 points) If the marginalrevenue function for a manufacturer's product is dr 2 = 2001  lOq 3q dq find the demand function. 7...
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This note was uploaded on 06/17/2011 for the course MATH 284 taught by Professor Na during the Spring '11 term at University of North Carolina School of the Arts.
 Spring '11
 NA

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