MATH 1680 Study Guide - Midterm Guide: Quotient Rule, Product Rule, Quadrilateral
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Name: (48 points) find the following antiderivatives. (a) (b) (c) (d) (e) (f) (g) (h) 2x + 3 dx x2 + 3x (cid:0) 3. 2x + 3 x (cid:0) 1 (x + 2)4(x (cid:0) 2) dx: (10 points) suppose you"re given a function f to di erentiate. Classify each of these as a) the location of a relative maximum, b) the location of a relative minimum, or c) an imposter: (10 points) consider the function g(x) = ln((x(cid:0) 3)(x2 + 5x + 4)). Find the domain of g(x) and put your answer in interval notation: (12 points) let h(x) = 2x (cid:0) ln(4x2 + 12x + 10). You must show your work. (a) let f (x) = (2x + 8)(4x (cid:0) 6) (b) g(x) = x2 (cid:0) 3x + 15=2. 2x (cid:0) 1 (c) k(x) = (x2 (cid:0) 4)18: (10 points) the line tangent to the graph of g(x) at the point (4; 6) has a y-intercept of 9.
