d Find the derivative y' = dy of each of the following functions. DO NOT SIMPLIFY YOUR ANSWER AFTER x YOU EVALUATE THE DERIVATIVE. 10g2 x (a) [6 points] y = (3\" + 3csc x) (b) [4 points] y5 + ex ' sec y = tanx Explain why the function f(x) = 3 In x - x attains an absolute maximum and absolute minimum on [1, 5]. Find the absolute maximum and minimum values for f(x) on [1, 5]. Justify your answer. Note that In 3 ~ 1.1 and In 5 ~ 1.6