MATH 1F03 Study Guide - Midterm Guide: Unit Vector, Parallelogram Law, Maxima And Minima
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This test has 6 pages and 8 questions. Suring that your copy of the paper is complete. Marks are indicated next to the problem number in square brackets. You may use the mcmaster standard calculator, casio fx991 ms+, on this test. If you use a pencil, your test will not. Clearly circle the one correct answer. (a) [3] if h(x) = (cid:2)4 + 3f (x), where f (1) = 7 and f (1) = 4, then h (1)= (a) 14. 2 (e) (b) 12 (f) 20 (c) 12 (g) 5 (h) none of these (b) [3] suppose that for a continuous function f (x) we know f (4) = 0 and f (4) = 10. [3] find the derivative of y = ln. X2 + 1 when x = 1. (hint: simplify using laws of: [3] find the critical numbers of the function f (x) = x(x 5) Name: [4] determine the interval on which f (x) = e x.
