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Mathematics
Mathematics
Problem
If
y
=
e
sin
2
x
y=e^{\sin 2x}
y
=
e
s
i
n
2
x
, then
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
equals a)
4
e
sin
2
x
(
cos
2
2
x
+
sin
2
x
)
4e^{\sin 2x}(\cos^{2}2x+\sin 2x)
4
e
s
i
n
2
x
(
cos
2
2
x
+
sin
2
x
)
b)
4
e
sin
2
x
(
cos
2
2
x
−
sin
2
x
)
4e^{\sin 2x}(\cos^{2}2x-\sin 2x)
4
e
s
i
n
2
x
(
cos
2
2
x
−
sin
2
x
)
c)
−
4
e
sin
2
x
sin
2
x
-4e^{\sin 2x}\sin 2x
−
4
e
s
i
n
2
x
sin
2
x
d)
2
e
sin
2
x
(
cos
2
2
x
−
2
sin
2
x
)
2e^{\sin 2x}(\cos^{2}2x-2\sin 2x)
2
e
s
i
n
2
x
(
cos
2
2
x
−
2
sin
2
x
)
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