MTH 132 Study Guide - Midterm Guide: Cubit, Mean Value Theorem, Maxima And Minima
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Instructions: you will be given exactly 90 minutes for this exam, no calculators, phones, or any electronic devices. I have read and understood all of the above instructions: Covers: 3. 6-5. 1: compute the derivative of each of the following functions using the rules of di erentiation. You need not simplify your answers. (a) (10 points) fpxq 3? cos x. Solution. (b) (10 points) gpxq secpx3 1q. Solution. (c) (10 points) hpxq sin3ptan xq. Solution. fpxq 3? fpxq pcos xq1{3 cos x. 3 pcos xq 2{3p sin xq gpxq secpx3 1q. G1pxq secpx3 1q tanpx3 1qp3x2q hpxq sin3ptan xq. H1pxq 3 sin2ptan xq cosptan xq sec2 x. Covers: 3. 6-5. 1 (d) (10 points) fpxq tan x2 sec x. Lets" use the equation y y0 dy dx y 1q. Now we need to evaluate: dy dx p 1, 1q p1qp 1q pxq dy.
