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Mathematics
Mathematics
Problem
If
y
=
x
2
log
x
+
2
x
y = x^2 \log x + \frac{2}{\sqrt{x}}
y
=
x
2
lo
g
x
+
x
2
, then
d
y
d
x
=
\frac{dy}{dx} =
d
x
d
y
=
(a)
x
+
2
x
log
x
−
1
x
x + 2x \log x - \frac{1}{\sqrt{x}}
x
+
2
x
lo
g
x
−
x
1
(b)
x
+
2
x
log
x
−
1
x
3
/
2
x + 2x \log x - \frac{1}{x^{3/2}}
x
+
2
x
lo
g
x
−
x
3/2
1
(c)
x
+
2
x
log
x
−
2
x
3
/
2
x + 2x \log x - \frac{2}{x^{3/2}}
x
+
2
x
lo
g
x
−
x
3/2
2
(d) None of these
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