Find the order 3 Taylor polynomial
T
3
(
x
)
\displaystyle {T}_{{3}}{\left({x}\right)}
T
3
(
x
)
of function given. Use exact values.
f
(
x
)
=
(
−
7
x
+
22
)
4
3
\displaystyle {f{{\left({x}\right)}}}={\left(-{7}{x}+{22}\right)}^{{\frac{{4}}{{3}}}}
f
(
x
)
=
(
−
7
x
+
22
)
3
4
at
a
=
2
\displaystyle {a}={2}
a
=
2
.
T
3
(
x
)
=
\displaystyle {T}_{{3}}{\left({x}\right)}=
T
3
(
x
)
=
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