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Mathematics
Mathematics
Problem
If
y
=
x
sin
x
cos
x
y=x\sin x\cos x
y
=
x
sin
x
cos
x
, find
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
and express your answer entirely in terms of
sin
2
x
\sin 2x
sin
2
x
and
cos
2
x
\cos 2x
cos
2
x
.
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