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Mathematics
Mathematics
Problem
Which of the following is an equivalent expression for the fourth derivative of
f
(
x
)
=
tan
x
f(x)=\tan x
f
(
x
)
=
tan
x
? a)
4
sec
2
x
tan
x
(
tan
2
x
+
2
sec
2
x
)
4\sec^{2}x\tan x\left(\tan^{2}x+2\sec^{2}x\right)
4
sec
2
x
tan
x
(
tan
2
x
+
2
sec
2
x
)
b)
8
sec
2
x
tan
x
(
tan
2
x
+
2
sec
2
x
)
8\sec^{2}x\tan x\left(\tan^{2}x+2\sec^{2}x\right)
8
sec
2
x
tan
x
(
tan
2
x
+
2
sec
2
x
)
c)
8
sec
x
tan
x
(
tan
2
x
+
2
sec
2
x
)
8\sec x\tan x\left(\tan^{2}x+2\sec^{2}x\right)
8
sec
x
tan
x
(
tan
2
x
+
2
sec
2
x
)
d)
8
sec
2
x
tan
x
(
tan
2
x
+
sec
2
x
)
8\sec^{2}x\tan x\left(\tan^{2}x+\sec^{2}x\right)
8
sec
2
x
tan
x
(
tan
2
x
+
sec
2
x
)
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