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derivative of 2sec^2(xtan(x))
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d
dx
(
2
sec
2
(
x
)
tan
(
x
)
)
=
−
4
sec
2
(
x
)
+
6
sec
4
(
x
)
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d
dx
(
2
sec
2
(
x
)
tan
(
x
)
)
=
−
4
sec
2
(
x
)
+
6
sec
4
(
x
)
steps
d
dx
(
2
sec
2
(
x
)
tan
(
x
)
)
Take
the
constant
out
:
(
a
·
f
)
′
=
a
·
f
′
=
2
d
dx
(
sec
2
(
x
)
tan
(
x
)
)
Apply
the
Product
Rule
:
(
f
·
g
)
′
=
f
′
·
g
+
f
·
g
′
f
=
sec
2
(
x
)
,
g
=
tan
(
x
)
=
2
(
d
dx
(
sec
2
(
x
)
)
tan
(
x
)
+
d
dx
(
tan
(
x
)
)
sec
2
(
x
)
)
show steps
d
dx
(
sec
2
(
x
)
)
=
2
sec
2
(
x
)
tan
(
x
)
show steps
d
dx
(
tan
(
x
)
)
=
sec
2
(
x
)
=
2
(
2
sec
2
(
x
)
tan
(
x
)
tan
(
x
)
+
sec
2
(
x
)
sec
2
(
x
)
)
show steps
Simplify
2
(
2
sec
2
(
x
)
tan
(
x
)
tan
(
x
)
+
sec
2
(
x
)
sec
2
(
x
)
)
:
−
4
sec
2
(
x
)
+
6
sec
4
(
x
)
=
−
4
sec
2
(
x
)
+
6
sec
4
(
x
)
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