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Calculus I Quiz
# 6 October
24, 2003
Name____________________ R. Hammack Score
______
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(1) (10 points)
Find derivatives of the following functions.
(a)
(b)
(c)
(2) (5 points)
Consider the function .
Find the equation of the line tangent to the graph of
at the point .
Slope at (x, f(x))
is
Slope at (1, f(1)) is
Thus the slope of the line is 3 and it passes through (1, f(1))
= (1, 6).
Using the point-slope formula,
(3) (5 points)
The graph of a function f
(x) is sketched below. If
, find