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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
x
2
sin
x
−
x
cos
x
x
2
+
1
.
f(x)=\dfrac{x^{2}\sin x-x\cos x}{x^{2}+1}.
f
(
x
)
=
x
2
+
1
x
2
sin
x
−
x
cos
x
.
Find
f
′
(
x
)
f'(x)
f
′
(
x
)
and simplify your answer so that the numerator contains no like terms that can be collected together.
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