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Problems
Mathematics
Mathematics
Problem
If
y
=
e
sin
(
ln
x
)
y=e^{\sin(\ln x)}
y
=
e
s
i
n
(
l
n
x
)
, then
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
equals a)
e
sin
(
ln
x
)
x
\dfrac{e^{\sin(\ln x)}}{x}
x
e
s
i
n
(
l
n
x
)
b)
e
ln
x
cos
(
ln
x
)
e^{\ln x}\cos(\ln x)
e
l
n
x
cos
(
ln
x
)
c)
e
sin
(
ln
x
)
cos
(
ln
x
)
x
\dfrac{e^{\sin(\ln x)}\cos(\ln x)}{x}
x
e
s
i
n
(
l
n
x
)
cos
(
ln
x
)
d)
e
sin
(
ln
x
)
cos
(
ln
x
)
e^{\sin(\ln x)}\cos(\ln x)
e
s
i
n
(
l
n
x
)
cos
(
ln
x
)
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