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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
x
3
+
5
x
2
−
8
f(x) = x^3 + 5x^2 - 8
f
(
x
)
=
x
3
+
5
x
2
−
8
, where
x
∈
R
x \in \mathbb{R}
x
∈
R
. a. Find
f
′
(
1
)
f'(1)
f
′
(
1
)
. b. Find the equation of the tangent to the graph of
f
f
f
at
x
=
1
x = 1
x
=
1
.
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