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V1 1 2 3 4 5 6 First Name

Summary: V1 1 2 3 4 5 6
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Math 150A Midterm #2. March 19, 2004
Attention! Please, note that this is the closed book test. You are not allowed to use graphing
calculator. Simple calculators are allowed. Please, show all important steps in you solution but do
not make your solution excessively long.
1. Find all points where the tangent line to the graph of the function
f(x) = x3
- 3x2
- 18x
a) (10pt) is horizontal
b) (5pt) has slope 18
2. Find the derivative of f(x) = 1/

x using the definition of the derivative. (you
are not supposed to use the power rule in this problem!)
a) (5pt) Write the definition of f (x).


Source: Alekseenko, Alexander - Department of Mathematics, California State University, Northridge


Collections: Physics