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Mathematics
Mathematics
Problem
Explain, in one or two sentences, why ensuring that a polynomial
p
(
x
)
p(x)
p
(
x
)
has the same value and first derivative as a differentiable function
f
(
x
)
f(x)
f
(
x
)
at
x
=
0
x=0
x
=
0
guarantees that
p
(
x
)
p(x)
p
(
x
)
approximates
f
(
x
)
f(x)
f
(
x
)
to at least first order near the origin.
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