Let
f
(
x
)
=
x
2
(
x
−
5
)
7
(
x
2
+
4
)
4
\displaystyle {f{{\left({x}\right)}}}={\frac{{{x}^{{{2}}}{\left({x}-{5}\right)}^{{{7}}}}}{{{\left({x}^{{2}}+{4}\right)}^{{{4}}}}}}
f
(
x
)
=
(
x
2
+
4
)
4
x
2
(
x
−
5
)
7
Use logarithmic differentiation to determine the derivative.
f
′
(
x
)
=
\displaystyle {f}'{\left({x}\right)}=
f
′
(
x
)
=
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