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Mathematics
Mathematics
Problem
Evaluate
d
d
x
(
tan
x
x
2
)
∣
x
=
π
4
\left.\dfrac{d}{dx}\left(\dfrac{\tan x}{x^2}\right)\right|_{x=\frac{\pi}{4}}
d
x
d
(
x
2
tan
x
)
x
=
4
π
. a)
16
(
π
−
4
)
π
3
\dfrac{16(\pi-4)}{\pi^{3}}
π
3
16
(
π
−
4
)
b)
32
(
π
−
2
)
π
3
\dfrac{32(\pi-2)}{\pi^{3}}
π
3
32
(
π
−
2
)
c)
32
(
π
−
4
)
π
3
\dfrac{32(\pi-4)}{\pi^{3}}
π
3
32
(
π
−
4
)
d)
32
(
π
+
4
)
π
3
\dfrac{32(\pi+4)}{\pi^{3}}
π
3
32
(
π
+
4
)
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