For the following exercises, assume that f(x) and g(x) are both differentiable functions with values as given in the following table. Use the following table to calculate the following derivatives. x 1 2 3 4 f(x) 3 5 -2 0 8(x) 2 3 -4 6 f’(x) -1 7 8 -3 g'(x) 4 1 2 9 \ 128. Find h ' ( 3 ) if h ( x ) = 2 x + f ( x ) g ( x ) .
For the following exercises, assume that f(x) and g(x) are both differentiable functions with values as given in the following table. Use the following table to calculate the following derivatives. x 1 2 3 4 f(x) 3 5 -2 0 8(x) 2 3 -4 6 f’(x) -1 7 8 -3 g'(x) 4 1 2 9 \ 128. Find h ' ( 3 ) if h ( x ) = 2 x + f ( x ) g ( x ) .
For the following exercises, assume that f(x) and g(x) are both differentiable functions with values as given in the following table. Use the following table to calculate the following derivatives.
x
1
2
3
4
f(x)
3
5
-2
0
8(x)
2
3
-4
6
f’(x)
-1
7
8
-3
g'(x)
4
1
2
9
\
128. Find
h
'
(
3
)
if
h
(
x
)
=
2
x
+
f
(
x
)
g
(
x
)
.
The graph of f', the derivative of f, is shown in the graph below. If f(-9) = -5, what is the value of f(-1)?
y
87 19
6
LO
5
4
3
1
Graph of f'
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4 5
6
7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
564%
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