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Mathematics
Mathematics
Problem
Consider the polynomial function
P
(
x
)
=
5
x
4
−
3
x
2
+
7
x
−
9
P(x)=5x^{4}-3x^{2}+7x-9
P
(
x
)
=
5
x
4
−
3
x
2
+
7
x
−
9
. (i) Obtain
P
′
(
x
)
P'(x)
P
′
(
x
)
. (ii) Calculate
P
′
(
2
)
P'(2)
P
′
(
2
)
. (iii) Determine the equation of the tangent to the curve
y
=
P
(
x
)
y=P(x)
y
=
P
(
x
)
at the point where
x
=
2
x=2
x
=
2
.
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