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Mathematics
Problem
Let
f
(
x
)
=
e
2
x
x
f(x)=\dfrac{e^{2x}}{x}
f
(
x
)
=
x
e
2
x
for
x
≠
0
x\neq 0
x
=
0
. Determine
f
′
(
x
)
f'(x)
f
′
(
x
)
. a)
e
2
x
(
2
x
+
1
)
x
2
\dfrac{e^{2x}(2x+1)}{x^{2}}
x
2
e
2
x
(
2
x
+
1
)
b)
e
2
x
(
2
x
−
1
)
x
2
\dfrac{e^{2x}(2x-1)}{x^{2}}
x
2
e
2
x
(
2
x
−
1
)
c)
e
2
x
(
2
x
2
−
1
)
x
2
\dfrac{e^{2x}(2x^{2}-1)}{x^{2}}
x
2
e
2
x
(
2
x
2
−
1
)
d)
e
2
x
(
2
x
−
1
)
x
\dfrac{e^{2x}(2x-1)}{x}
x
e
2
x
(
2
x
−
1
)
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