01:640:135 Study Guide - Final Guide: Hot Air Balloon
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1 x2 x 6: lim x 3 x 3 x2 x 6. |x + 2| b) lim x 2 : lim x , lim x 0. 4x 7 e3x sin(3x) cos(2x: suppose f (x) = 1 x2 . Use the de nition of derivative to nd f (x): compute the derivatives with respect to x of the following functions. 5 ln x: cos(cid:0)x4 + 3(cid:1, (cid:0)e7x + 3x4(cid:1)(cid:18) x + 5 , z x, suppose f (x) =(cid:0)x2 + 9(cid:1)200 sin(cid:0)t3(cid:1) dt. Explain why the following statement is correct: if x > 0, then f (x) > 0: use calculus to explain why f (76) > f (23). You must quote a speci c result from this course and explain its relevance. Your answer to a) may be useful here. (cid:0)17 x3(cid:1)301: a rectangular box with a square base is to be made from two di erent materials.
