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Math 150a Midterm #3. April 30, 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. a)(7pt.) List the inflection points for the function
f(x) = ln x + 2x2
;
b) (8pt) Find critical points of the function
f(x) =
x
x2 + 1
;
2
2. Sketch the graph of the function f(x) following the steps listed below:
f(x) =
1
