1. Section 4.2 – Differentiating Exponential Functions THE MEMORIZATION LIST BEGINS

2. Find

3. POSITION s(t) VELOCITY v(t) ACCELERATION a(t) DIFFERENTIATEDIFFERENTIATE INTEGRATEINTEGRATE

4. A particle moves along a line so that at time t, 0 < t < 5, its position is given by a) Find the position of the particle at t = 2 b) What is the initial velocity? (Hint: velocity at t = 0) c) What is the acceleration of the particle at t = 2

5. CALCULATOR REQUIRED Suppose a particle is moving along a coordinate line and its position at time t is given by For what value of t in the interval [1, 4] is the instantaneous velocity equal to the average velocity? a) 2.00 b) 2.11 c) 2.22 d) 2.33 e) 2.44

6. then

7. D The Quotient Rule

8. An equation of the normal to the graph of NO CALCULATOR

11. An equation of the line normal to the curve NO CALCULATOR

14. Consider the function A) 5 B) 4 C) 3 D) 2 E) 1 NO CALCULATOR

15. If u(4) = 3, u ‘ (4) = 2, v(4) = 1, v ‘ (4) = 4, find:

16. ADD TO THE MEMORIZATION LIST 4.1

22. Find the equation of the tangent line of

23. NO CALCULATOR At x = 0, which of the following is true of A)f is increasing B)f is decreasing C)f is discontinuous D)f is concave up E)f is concave down X X X

24. NO CALCULATOR If the average rate of change of a function f over the interval from x = 2 to x = 2 + h is given by A) -1 B) 0 C) 1 D) 2 E) 3

25. NO CALCULATOR The graph of has an inflection point whenever

26. NO CALCULATOR

27. then an equation of the line tangent to the graph of F at the point where