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Mathematics
Mathematics
Problem
Let
h
(
x
)
=
(
x
2
+
1
)
(
x
−
1
)
x
+
1
h(x)=\dfrac{(x^{2}+1)(x-1)}{x+1}
h
(
x
)
=
x
+
1
(
x
2
+
1
)
(
x
−
1
)
. a. (i) Find
h
′
(
x
)
h'(x)
h
′
(
x
)
. b. (ii) Simplify your result so that the numerator of the derivative is expressed as a polynomial of degree at most
3
3
3
.
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