MATH 125g Study Guide - Midterm Guide: Maxima And Minima, Piecewise Linear Function
4 Aug 2020
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L"hospital"s rule). if they exist, of the following expressions (you may not use x cot x. 1 x: [20 points] consider f (x) = x2 x. Find the numbers at which f (x) is discontinuous. [15 points] if a snowball melts so that its surface area (s = 4 r2) decreases at a rate of. 1 cm2/min, nd the rate at which the radius decreases when the radius is 10 cm. [10 points] find the linear approximation to f (x) = ex near x = 0. [5 points] sketch the graph of f and its linear approximation in the x interval of [ 1, 1]: find the derivatives of the following functions: x3 + 1. [5 points] f (x) = x2 + 5. [5 points]f (x) = ln (1 + x2) sin x. 7c. local minimum and maximum values (if any); 7d. intervals of concavity and in ection points (if any).
