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Mathematics
Mathematics
Problem
Find
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
for
y
=
ln
(
5
x
)
y=\sqrt{\ln(5x)}
y
=
ln
(
5
x
)
. a)
1
2
ln
(
5
x
)
\dfrac{1}{2\sqrt{\ln(5x)}}
2
ln
(
5
x
)
1
b)
1
x
ln
(
5
x
)
\dfrac{1}{x\sqrt{\ln(5x)}}
x
ln
(
5
x
)
1
c)
1
2
x
ln
(
5
x
)
\dfrac{1}{2x\sqrt{\ln(5x)}}
2
x
ln
(
5
x
)
1
d)
5
2
x
ln
(
5
x
)
\dfrac{5}{2x\sqrt{\ln(5x)}}
2
x
ln
(
5
x
)
5
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