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Mathematics
Mathematics
Problem
For
y
=
sin
2
(
2
x
)
x
,
y=\dfrac{\sin^{2}(2x)}{x},
y
=
x
sin
2
(
2
x
)
,
compute
d
y
d
x
.
\dfrac{dy}{dx}.
d
x
d
y
.
a)
2
x
sin
(
4
x
)
+
sin
2
(
2
x
)
x
2
\dfrac{2x\sin(4x)+\sin^{2}(2x)}{x^{2}}
x
2
2
x
sin
(
4
x
)
+
sin
2
(
2
x
)
b)
2
sin
(
4
x
)
−
sin
2
(
2
x
)
x
\dfrac{2\sin(4x)-\sin^{2}(2x)}{x}
x
2
sin
(
4
x
)
−
sin
2
(
2
x
)
c)
2
x
sin
(
4
x
)
−
sin
2
(
2
x
)
x
2
\dfrac{2x\sin(4x)-\sin^{2}(2x)}{x^{2}}
x
2
2
x
sin
(
4
x
)
−
sin
2
(
2
x
)
d)
x
sin
(
4
x
)
−
sin
2
(
2
x
)
x
2
\dfrac{x\sin(4x)-\sin^{2}(2x)}{x^{2}}
x
2
x
sin
(
4
x
)
−
sin
2
(
2
x
)
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