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Mathematics
Problem
Explain, in one or two sentences, why a rational function of the form
R
(
x
)
=
p
(
x
)
q
(
x
)
R(x)=\dfrac{p(x)}{q(x)}
R
(
x
)
=
q
(
x
)
p
(
x
)
cannot have a horizontal tangent at any
x
x
x
-value for which
q
(
x
)
=
0
q(x)=0
q
(
x
)
=
0
.
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