5. Consider the function f (ac ) = 3ac + 27 a. Find the critical numbers of f (a). b. Find the intervalQuestions where f (a ) is increasing and decreasing. c. Find the intervals where f (a) is concave up and concave down. d. Find the local minimum and local maximum values of f (ac ). e. Find any inflection points of f (ac). 6. Find dy / dac for the curve defined by the equation sin(xy) = cos(x + y) 7. Differentiate the following functions. a. x2etan x b sec x 1-el/x 8. Use the limit definition of the derivative to find the derivative of Vac + 2. 9. Find the equation of the line tangent to x2 - 3x + 2 when x = 5