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Mathematics
Mathematics
Problem
Explain in a sentence why the quantity
1
+
(
f
′
(
x
)
)
2
\sqrt{1+\left(f'(x)\right)^2}
1
+
(
f
′
(
x
)
)
2
represents the instantaneous speed of motion along the graph of
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
.
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