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Mathematics
Problem
Given
g
(
x
)
=
(
x
2
+
1
)
(
3
x
−
5
)
+
5
x
2
−
4
x
+
2
g(x)= (x^{2}+1)(3x-5)+\dfrac{5x^{2}-4}{x+2}
g
(
x
)
=
(
x
2
+
1
)
(
3
x
−
5
)
+
x
+
2
5
x
2
−
4
, answer the following: a. (i) Find
g
′
(
x
)
g'(x)
g
′
(
x
)
. b. (ii) Determine the slope of the tangent to
y
=
g
(
x
)
y=g(x)
y
=
g
(
x
)
at
x
=
1
x=1
x
=
1
.
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