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Unformatted text preview: Name Homework 5
Sections 2.5 & 2.6 1. (5) Number 28 on page 104 of the textbook.
(a)
(b)
(c)
(d)
(e) 2. (5) Use the graph to complete the table with the signs (positive, negative or zero) of
dy
d2
and dxy at each of the labeled points. Modied from the textbook page 102, number
2
dx
2.
Point
A
B
C
D
E dy
dx d2 y
dx2 Make sure you use the denition of dierentiable (i.e. there needs to be some limits) for
numbers 3 and 4.
4(x − 1)2 + 1
for x ≤ 2
2
−3(x − 3) + 8 for x > 2
is dierentiable at x = 2. If so, nd f (2). The graph of f (x) is shown below. 3. (5) Determine whether the function f (x) = 4. (5) Determine whether or not the function g (x) = (x + x)2 − 1 is dierentiable at
x = 0. If so, nd g (0). ...
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 Spring '08
 KENNEDY

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