Leading up to the first & second derivative tests.

1. st and
nd
Derivative Tests
Wildwood 2007 Set by flickr user always13

2. The height of a ball (in feet) t seconds after it is thrown is given by:
it's (upward) velocity at time t is:
(a) From what height was the ball thrown?
(b) What is the ball's initial velocity? Was it
thrown up or down? How can you tell?
(c) Was the ball's height increasing or
decreasing at time t = 2?
(d) At what time did the ball reach it's
maximum height? How high was it then?
(e) How long was the ball in the air?

3. The graph of a function ƒ is shown below. Rank the values of ƒ'(-3), ƒ'(-2),
ƒ'(0), ƒ'(1) and ƒ'(4) in increasing order.