ECON 11A Study Guide - Quiz Guide: Marginal Revenue, Root Mean Square
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Winter 2017: use the di erentiation formulas to nd the derivatives of the functions below. Clean up your answers. (a) (3 pts) f (x) = 2 3 x 3 x2 = 2x1/3 3x 2; f(cid:48)(x) = 2 1. 3 x 2/3 3( 2)x 3 = x 2/3 + 6x 3. 3 (b) (3 pts) v = (3u2 + 1)(u4 3u + 2); dv du. = 6u(u4 3u + 2) + (3u2 + 1)(4u3 3) = 6u5 18u2 + 12u + 12u5 + 4u3 9u2 3. = 18u5 + 4u3 27u2 + 12u 3 (c) (3 pts) y = 12x2 + 30x 4 (4x + 5)2: (5 pts) use the de nition of the derivative to nd the slope of the curve y = Show your work and use the limit notation/properties correctly. 2 x at the point x0 = 1. (cid:12)(cid:12)(cid:12)(cid:12)x=1 dy dx. = lim h 0: (6 pts) a rm"s marginal revenue function is given by.
