1. Clicker Question 1 What is the derivative of f (x ) = 2x sin(x ) ?
A. 2x cos(x )
B. 2x ln(2) cos(x )
C. 2x (ln(2) cos(x ) + sin(x ))
D. 2x (cos(x ) + sin(x ))
E. 2x (ln(2) sin(x ) + cos(x ))

2. Clicker Question 2
What is the instantaneous rate of change of g (x ) = 3 tan(x ) at x = /3 ?
A. 3
B. 3 sec2(x )
C. 12
D. 4
E. 6

3. Established (for now) Derivative Facts (11/30/11)
d/dx (x r ) = r x r - 1 provided r is a whole number (positive or negative).
d/dx (a x ) = a x ln(a)
d/dx ( sin(x )) = cos(x )
d/dx (cos(x )) = -sin(x ) <- similar to proof for the sin
d/dx (tan(x )) = sec2(x )
d/dx (sec(x )) = sec(x )tan(x)
d/dx (cot(x )) = ? <- homework problem
d/dx (csc(x )) = -csc(x )cot(x)

4. Established (for now) Derivative Rules
Constant Multiplier Rule
Sum and Difference Rule
Product Rule
Quotient Rule
One more to go: Chain Rule

5. Assignment for Friday
Do Exercises 3, 7, 11, 17, 22 and 34 on page 197.
Hand-in #4 is due Thursday (12/1) at 4:45.