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Mathematics
Mathematics
Problem
State the derivative
d
d
x
(
u
(
x
)
v
(
x
)
)
\displaystyle \frac{d}{dx}\Bigl(\tfrac{u(x)}{v(x)}\Bigr)
d
x
d
(
v
(
x
)
u
(
x
)
)
in terms of
u
(
x
)
u(x)
u
(
x
)
,
v
(
x
)
v(x)
v
(
x
)
,
u
′
(
x
)
u'(x)
u
′
(
x
)
, and
v
′
(
x
)
v'(x)
v
′
(
x
)
, where
u
u
u
and
v
v
v
are differentiable and
v
(
x
)
≠
0
v(x)\neq 0
v
(
x
)
=
0
.
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