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Mathematics
Mathematics
Problem
Derive a simplified expression for
f
′
(
x
)
f'(x)
f
′
(
x
)
if
f
(
x
)
=
(
x
2
+
1
)
tan
x
(
x
2
+
x
+
1
)
1
2
cos
x
f(x) = (x^{2}+1)^{\tan x}\,(x^{2}+x+1)^{\frac{1}{2}\cos x}
f
(
x
)
=
(
x
2
+
1
)
t
a
n
x
(
x
2
+
x
+
1
)
2
1
c
o
s
x
. Present your result with no remaining logarithms.
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