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Mathematics
Mathematics
Problem
If
y
=
x
sin
x
y = x^{\sin x}
y
=
x
s
i
n
x
, then
d
y
d
x
=
\frac{dy}{dx} =
d
x
d
y
=
(a)
[
x
cos
x
⋅
log
x
+
sin
x
x
]
x
sin
x
\left[ \frac{x \cos x \cdot \log x + \sin x}{x} \right] x^{\sin x}
[
x
x
c
o
s
x
⋅
l
o
g
x
+
s
i
n
x
]
x
s
i
n
x
(b)
y
[
x
cos
x
⋅
log
x
+
cos
x
]
x
\frac{y[x \cos x \cdot \log x + \cos x]}{x}
x
y
[
x
c
o
s
x
⋅
l
o
g
x
+
c
o
s
x
]
(c)
y
[
x
sin
x
⋅
log
x
+
cos
x
]
y[x \sin x \cdot \log x + \cos x]
y
[
x
sin
x
⋅
lo
g
x
+
cos
x
]
(d) None of these
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