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Mathematics
Mathematics
Problem
Determine
d
d
x
(
e
2
x
sin
x
)
\dfrac{d}{dx}\left( \dfrac{e^{2x}}{\sin x} \right)
d
x
d
(
sin
x
e
2
x
)
. a)
e
2
x
(
2
sin
x
+
cos
x
)
sin
2
x
\dfrac{e^{2x}(2\sin x+\cos x)}{\sin^{2}x}
sin
2
x
e
2
x
(
2
sin
x
+
cos
x
)
b)
e
2
x
(
sin
x
−
cos
x
)
sin
2
x
\dfrac{e^{2x}(\sin x-\cos x)}{\sin^{2}x}
sin
2
x
e
2
x
(
sin
x
−
cos
x
)
c)
e
2
x
(
2
sin
x
−
cos
x
)
sin
2
x
\dfrac{e^{2x}(2\sin x-\cos x)}{\sin^{2}x}
sin
2
x
e
2
x
(
2
sin
x
−
cos
x
)
d)
e
2
x
(
2
sin
x
−
cos
x
)
sin
x
\dfrac{e^{2x}(2\sin x-\cos x)}{\sin x}
sin
x
e
2
x
(
2
sin
x
−
cos
x
)
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