l 1+et' 1. (10 points) Let SUE) = (a) Find S'(t). (b) Which of the following equations hold true? Show Why your choice is true. [Note: only one equation is true.] i. S'(t) = 3(t) ii. S'(t) = (305))2 iii. S'(t) = S(t)(1 S(t)) iv. S'(t) = S(t) 2. (30 points) Find the derivatives of the following functions. (a) y = $2 ln(a: + 9) (b) y = 1:;5) (c) y = tan1(42: em) 3. (5 points) Suppose that the slope of the curve 3; = x) at (4, 7) is 2/3. Find (f'1)'(7). d 4. (10 points) Use logarithmic differentiation to nd dy if :5 y = (25053