Let
y
=
2
x
2
+
7
x
+
3
\displaystyle {y}={2}{x}^{{2}}+{7}{x}+{3}
y
=
2
x
2
+
7
x
+
3
. If
Δ
x
=
0.1
\displaystyle \Delta{x}={0.1}
Δ
x
=
0.1
at
x
=
2
\displaystyle {x}={2}
x
=
2
, use linear approximation to estimate
Δ
y
\displaystyle \Delta{y}
Δ
y
Δ
y
≈
\displaystyle \Delta{y}\approx
Δ
y
≈
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