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Mathematics
Mathematics
Problem
The graph of a differentiable function
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
passes through the point
(
3
,
2
)
(3,2)
(
3
,
2
)
. A line that appears tangent to the curve at
x
=
3
x=3
x
=
3
also passes through the point
(
5
,
5
)
(5,5)
(
5
,
5
)
. Which is the best estimate of
f
′
(
3
)
f'(3)
f
′
(
3
)
? a)
2.5
2.5
2.5
b)
1.5
1.5
1.5
c)
2
3
(
≈
0.667
)
\dfrac{2}{3}\,(\approx 0.667)
3
2
(
≈
0.667
)
d)
3.0
3.0
3.0
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