\fQuestion 2 (1 point) If y = cos23x, then dy dx a. -6 sin 3x cos 3x d. 6cos 3x b. -2 cos 3x e. 2 sin 3x cos 3x c. 2 cos 3x OA OB Oc OD OEQuestion 3 (1 point) If y = cos x - sin x, then y'= a. -1 d. -2(cosx + sinx) b. 0 e. 2(cosx - sinx) C. -2 sin(2x) A OB OC OD OEQuestion 4 (1 point) If f( x) = = Inx x , for all x > 0, which of the following is true? a. f is increasing for all x greater than 0. d. f is decreasing for all x between 1 and e b. f is increasing for all x greater than 1. e. f is decreasing for all x greater than e. c. f is decreasing for all x between 0 and 1. OA OB OC OD OE\fQuestion 6 (1 point) If f(x) = et, which of the following is equal to f'(e)? geth - 1 exth d. lim, -0 h a. lim, ->o h xth _ e geth - e e. lim, -> 0 h b. lim, - 0 h e xth - e c. lim, ->0 h OA OE OC OD OE\f\fQuestion 9 (1 point) Find the slope of the tangent to /(x) = x e" at the point (1, 2). A e C 2+e B 3e D 1 A O B OC ODQuestion 10 (1 point) Find the equation of the tangent to y = sin(@") at the point (0, 0.841). A x+ey =0 C 0.540x + 0.841y = 0 B 0.540x - ey + 0.841 = 0 D 0.540x - y + 0.841 = 0 OA OB Oc OD\f\fQuestion 13 (1 point) Let f be the function with first derivative given by f'(x) = (3 -2x - x2 )sin(2x -3). How many relative extrema does f have on the open interval -4