Problem 1: Determine the following derivatives using dierentiation rules. Do not simplify.

a. Dierentiate y =

ln(3x)

tan2(x) + 4

.

Score: /2

b. Find f0(x) given f(x) =

x3 log (x5 3)

e3x + tan3(x)

4

.

Score: /2

c. Find the derivative of g(x) =

( 3

p

x2 + 1)(tan1(x))

(3x21)(sin(2x))

.