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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
2
tan
x
f(x)=x^{2}\tan x
f
(
x
)
=
x
2
tan
x
. Which of the following is
f
′
(
x
)
f'(x)
f
′
(
x
)
? a)
2
x
tan
x
+
x
2
sec
x
tan
x
2x\tan x+x^{2}\sec x\tan x
2
x
tan
x
+
x
2
sec
x
tan
x
b)
2
x
tan
x
+
x
2
sec
2
x
2x\tan x+x^{2}\sec^{2}x
2
x
tan
x
+
x
2
sec
2
x
c)
2
x
tan
x
+
x
2
cot
2
x
2x\tan x+x^{2}\cot^{2}x
2
x
tan
x
+
x
2
cot
2
x
d)
tan
x
+
x
2
sec
2
x
\tan x+x^{2}\sec^{2}x
tan
x
+
x
2
sec
2
x
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