MATH 19A Study Guide - Midterm Guide: Ellipse, Maxima And Minima
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In other words, just writing the answer, even if correct, may not be su cient for full credit. Scienti c calcula- tors are allowed, but no programmable and/or graphing calculators. Total: out of 25 out of 15 out of 10 out of 10 out of 15 out of 10 out of 15 out of 100. 1: (25 points) compute the requested derivatives of the following functions: (a) (6 points) f! (x) for f(x) = (arctan(x)) 2 (b) (6 points) dy dx for y = esec 2x + sec(3ex) (c) (6 points) for y = sin( dy dt is a function of t . ), where , are constants and (d) (7 points) ation. dy dx for y = (cosh x)cos x. 3: (10 points) use the linear approximation to the function f(x) = ex to approximate the number e 0. 015, (10 points) show that arcsin x x for x near zero.
