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Mathematics
Problem
Explain, in one or two sentences, why the derivative of a differentiable rational function
p
(
x
)
q
(
x
)
\tfrac{p(x)}{q(x)}
q
(
x
)
p
(
x
)
(with
q
(
x
)
≠
0
q(x)\neq 0
q
(
x
)
=
0
) always has
q
(
x
)
2
q(x)^2
q
(
x
)
2
rather than
q
(
x
)
q(x)
q
(
x
)
in its denominator.
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