\fWhich function has the same derivative function f(a) as g(x) = x2 + Inx? Select one: O a. f(x) = 4x' +Inx Ob. f(x) = 4x' Inx + 6 Oc. f(x) = x2 + Inx + 3 Od. f(x) = 2x +1 Oe. f(x) = 2+1Find f'(x) for f(x) = secor Select one: O a. f'(x) = 8secSxcot8r O b. f'(x) = 8secrtanr O c. f'(x) = -secortan&r Od. f'(x) = 8sec8xtan8x Oe. f'(x) = -8sec8xcot8rA person 2 meters tall walks directlyr away.r from a streetlig ht that is 8 meters above the ground. If the person is walking at a constant rate and the person's shadow is lengthening at the rate of4f9 meters per second, at what rater in meters per secondr is the person walking? Select one: D a. 4,22? 0 lo. 4}? O c. 3K4 D d. 4,23 0 e. 163'?) 1|.ul'iJ'hat is an antiderivative? Select one: 0 a. A second derivative 0 b. The same as another derivative 0 c. The opposite of a derivative 0 d. It is rate of change. 0 e. It aiwavs represents velocity \fUse quotient rule to find the derivative of g(x) = x/(x - 11). Select one: O a. ( @) = (c-11)2 O b. ( @) = 2272 (x-11)2 Oc. g'(x) = (*-11)2 Od. g (@) = x2-22r (x-11)2\fUse the linear approximation of f(1:) = (1 + 3:)at a = CI to estimate 1. #11195. Select one: Q a. 9.9592 0' b. 9.9159 G C. 9.914? O [1. 9.9942 0 e. None of these If y = In(x2 + ?) then the value of dy at the point (1,0) is Select one: Oa. 0 O b. 1/2 Oc. 1 O d. 2 O e. undefined