Part I- Multiple Choice Answer each question with the best possible selection. Each question is worth 2 points. Question #1 - What is the derivative of the function f(x) =exx ? a) f'(x)=ek b) f (x) = = c) f'(x) = xed d) f'(x) =3ex 3x e) f (x) =- 1 In(3) Question #2 - Which of the following is the log form of the function y= e* ? a) In(y) = x b) Ln(x) = y c) Ln( y) =e d) In (y) =x e) Log, (e) = > Question #3 - What is the derivative for the function f(x) = In(x)? a) f'(x) = = b) f ( x ) = = In(x) c) f (x ) = = d) f (x) = = Question #4 - Use the properties of log functions to rewrite In * a) In(xy -=) b) In(xy) c) In(x) + In(y)-In(=) d) xyIn(=) e) In(xy)-z Question #5 - Solve the following equation for x...... 3=e*+1 a) .693 b) .234 c) . 1732 d) .205 e) 0.67Use the following information to answer questions 6 thru 8 In 1980 the population of a city was growing exponentially according to the equation p(1) =1000e where t=time in years and P=population. Question #6 - What is the rate of growth for the town? a) 1000 b) .02 c) the variable t d) 1000(.02) e) Not given Question #7 - What was the population in the year 2000? a) 1491 b) 1000 c) 20,211 d) 1565 e) 1221 Question #8 - What was the population in 1980? a) 1491 b) 1000 c) 100 d) 20 e) Not givenPart II - Open answer Answer each of the following question by showing as much work as possible. ALL ANSWERS MUST BE DEFENDED BY WORK. Find the derivatives of the following functions. (5 point each) ny=xe Set 2) f (x) =- 4 In(x)