ECON 11A Study Guide - Quiz Guide: Marginal Revenue, Root Mean Square
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Name: find the derivatives (using the formulas, not the de nition). Clean up your answers. (a) (3 pts) y = 5x2 ln(x3 + 1); dy dx. = 10x ln(x3 + 1) + 5x2 3x2 x3 + 1. 15x4 x3 + 1 (b) (3 pts) f (t) = 10e5 2t; f(cid:48)(t) = 10e5 2t ( 2) = 20e5 2t: (6 pts) find the degree 2 taylor polynomial for the function f (x) = this polynomial to estimate. 4 = 2, f(cid:48)(x) = 1 f(cid:48)(cid:48)(x) = 1. 4. 4 . (b) quadratic (degree 2) taylor polynomial for f (x) centered at x = 4: x centered at x0 = 4, and use. T2(x) = f (4) + f(cid:48)(4)(x 4) + (c) approximating. 64 (4. 4 4)2 = 2 + 0. 1 0. 0025 = 2. 0975: the demand equation for a monopolist"s product is q = 15. 0. 7 (cid:125)(cid:124) dq/dp (cid:123) (240 1. 4p) 1/2 ( 1. 4) p .
