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Rational function/R/Determine derivative/x^2+x-1 over x^3-x+2/Exercise
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Determine the derivative of the function
f
:
D
⟶
R
,
x
⟼
f
(
x
)
=
x
2
+
x
−
1
x
3
−
x
+
2
,
{\displaystyle f\colon D\longrightarrow \mathbb {R} ,x\longmapsto f(x)={\frac {x^{2}+x-1}{x^{3}-x+2}},}
where
D
{\displaystyle {}D}
is the set where the denominator does not vanish.
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