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Mathematics
Mathematics
Problem
Differentiate
y
=
(
x
2
+
1
)
sin
x
+
x
cos
x
x
2
−
sin
x
y=\dfrac{(x^{2}+1)\sin x + x\cos x}{x^{2}-\sin x}
y
=
x
2
−
sin
x
(
x
2
+
1
)
sin
x
+
x
cos
x
and simplify the result by taking out any common factor.
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