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Mathematics
Problem
Let
h
(
x
)
=
(
tan
(
2
x
)
)
3
h(x)=\bigl(\tan(2x)\bigr)^{3}
h
(
x
)
=
(
tan
(
2
x
)
)
3
. Which expression equals
h
′
(
x
)
h'(x)
h
′
(
x
)
? a)
6
(
tan
(
2
x
)
)
3
sec
2
(
2
x
)
6\bigl(\tan(2x)\bigr)^{3}\sec^{2}(2x)
6
(
tan
(
2
x
)
)
3
sec
2
(
2
x
)
b)
3
(
tan
(
2
x
)
)
2
sec
2
(
2
x
)
3\bigl(\tan(2x)\bigr)^{2}\sec^{2}(2x)
3
(
tan
(
2
x
)
)
2
sec
2
(
2
x
)
c)
6
(
tan
(
2
x
)
)
2
sec
2
(
2
x
)
6\bigl(\tan(2x)\bigr)^{2}\sec^{2}(2x)
6
(
tan
(
2
x
)
)
2
sec
2
(
2
x
)
d)
6
(
tan
(
2
x
)
)
2
sec
(
2
x
)
tan
(
2
x
)
6\bigl(\tan(2x)\bigr)^{2}\sec(2x)\tan(2x)
6
(
tan
(
2
x
)
)
2
sec
(
2
x
)
tan
(
2
x
)
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