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Fall 2014 – MATH 151, Sections 549-551 Quiz #4 DIRECTIONS. Read each problem carefully and work it out in the space provided. Put a box around the answer you believe best answers the question. Calculators are not allowed. Problem 1. What is the derivative of the function f (u) = (a) −4u3 (1+u2 )2 (b) 4u (1+u2 )2 (c) −4u (1+u2 )2 1−u2 ? 1+u2 (d) None of the above. Problem 2. Find the equation of the tangent line to f (x) = x + (a) y = 45 x + 1 (b) y = 3x − 6 (c) y = − 45 x + 1 (d) None of the above. 1 √ x at the point (4, 6). Math 151 Fall 2014 Quiz #4 2 Problem 3. The position function of a particle is given by s(t) = t3 − 4.5t2 − 7t, t ≥ 0, with s(t) given in meters and t in seconds. When does the particle reach a velocity of 5 m/s? (a) t = 5 (b) t = 4 (c) t = 2.5 (d) None of the above. Problem 4. What is dy dx of y = cos x − 2 tan x? (a) y 0 = − sin x − 2 sec2 x (b) y 0 = sin x − 2 sec2 x (c) y 0 = − sin x − 2 csc x (d) None of the above.