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(1) If y? = 2. and dy dt = 4 when y = 3, then dx is dt a) b) 3 C 4 d) 12 e) none of the above (2) The slope of the tangent to the graph of the function f (x) = x 2x + 1 at the point x = 1 is a 1 b) -1 c ) d) e) none of the above (3) The function f(x) = 6Inx - 2x has a) a maximum at x = 2 b) a minimum at x = 0 c) a maximum at x = 3 d) a minimum at x = 1 e) none of the above (4) If f' (x) = 1 - e", and f(0) = 2 then a) f(x) = 1+e-" b) f(x) =xtel c) f(x) = 1+e" +x d) f(x) =3+x -e" e) none of the above (5) Which of the following is equal to d.x V2x + 3 a) VT b) 1 C 2 d) 3 e) none of the above (6) The function f(u) = u2 2 6 1nu + u has the critical point au =1 b) u = 2 c) u = 3 du = e e) none of the above (7) If h'(t) = - sint, then the second derivative h"(t) is a - sint b) - cost c) sint d) cost e) none of the above (8) The differential dg of the function g(t) = In(t2 - t) is 1 12 - t a) (2t - 1) In(t2 - t) dt b) (t2 - t) dt C) 2t 1 2 - t dt d) In(t2 - t) . dt e) none of the above (9) The function f(x) = 6x2 - x + 5 x - 2x2 + 1 has toward of the horizontal asymptote a) y = 6 by =5 c) x = -3 d) y = -3 e) none of the above (10) The value of the limit lim In(3x - 2) is x-1 x- 1 a) 0 b) 1 C 2 d) 3 e) none of the above