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Mathematics
Problem
When differentiating
ln
y
\ln y
ln
y
with respect to
x
x
x
, where
y
y
y
is a differentiable function of
x
x
x
, which of the following expressions is obtained? a)
1
y
\dfrac{1}{y}
y
1
b)
(
ln
y
)
d
y
d
x
(\ln y)\dfrac{dy}{dx}
(
ln
y
)
d
x
d
y
c)
1
y
d
y
d
x
\dfrac{1}{y}\dfrac{dy}{dx}
y
1
d
x
d
y
d)
1
ln
y
d
y
d
x
\dfrac{1}{\ln y}\dfrac{dy}{dx}
ln
y
1
d
x
d
y
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