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Mathematics
Problem
A polynomial is given by
h
(
x
)
=
7
x
5
+
0
x
4
+
3
x
2
−
9
x
+
12
h(x)=7x^{5}+0x^{4}+3x^{2}-9x+12
h
(
x
)
=
7
x
5
+
0
x
4
+
3
x
2
−
9
x
+
12
. (a) Compute
h
′
(
x
)
h'(x)
h
′
(
x
)
and simplify. (b) Determine the slope of the tangent line to
y
=
h
(
x
)
y=h(x)
y
=
h
(
x
)
at the point where
x
=
−
1
x=-1
x
=
−
1
. (c) Write the equation of that tangent line in point–slope form.
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