Median Home Prices The median home price in the United States over the period January 2010–January 2015 can be approximated by P ( t ) = 4.5 ( t − 2010 ) 2 − 15 ( t − 2010 ) + 180 thousand dollars ( 2010 ≤ t ≤ 2015 ) , where t is the year. Find P ' ( t ) and P ' ( 2011 ) . What does the second answer tell you about home prices?
Median Home Prices The median home price in the United States over the period January 2010–January 2015 can be approximated by P ( t ) = 4.5 ( t − 2010 ) 2 − 15 ( t − 2010 ) + 180 thousand dollars ( 2010 ≤ t ≤ 2015 ) , where t is the year. Find P ' ( t ) and P ' ( 2011 ) . What does the second answer tell you about home prices?
Median Home Prices The median home price in the United States over the period January 2010–January 2015 can be approximated by
P
(
t
)
=
4.5
(
t
−
2010
)
2
−
15
(
t
−
2010
)
+
180
thousand dollars
(
2010
≤
t
≤
2015
)
,
where t is the year. Find
P
'
(
t
)
and
P
'
(
2011
)
. What does the second answer tell you about home prices?
For each given function f(x) find f'(x) using the rules learned in section 9.5.
1. f(x)=x32
32x
2. f(x)=7x+13
3. f(x) =
x4
4. f(x) = √√x³
5. f(x) = 3x²+
3
x2
Find:
lim x →-6 f (x)
limx-4 f (x)
lim x-1 f (x)
lim x →4 f (x)
(-6,3) •
(-1,5)
-8
-7
(-6,-2)
4+
(4,5)
(4,2) •
(-1,1)
-6
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