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Mathematics
Mathematics
Problem
For
x
≠
0
x\neq 0
x
=
0
, what is the derivative of
f
(
x
)
=
tan
x
x
2
\displaystyle f(x)=\frac{\tan x}{x^{2}}
f
(
x
)
=
x
2
tan
x
? a)
sec
2
x
x
2
+
2
tan
x
x
3
\displaystyle \frac{\sec^{2}x}{x^{2}}+\frac{2\tan x}{x^{3}}
x
2
sec
2
x
+
x
3
2
tan
x
b)
sec
2
x
x
2
−
2
tan
x
x
3
\displaystyle \frac{\sec^{2}x}{x^{2}}-\frac{2\tan x}{x^{3}}
x
2
sec
2
x
−
x
3
2
tan
x
c)
sec
2
x
x
2
\displaystyle \frac{\sec^{2}x}{x^{2}}
x
2
sec
2
x
d)
sec
x
x
2
−
2
tan
x
x
3
\displaystyle \frac{\sec x}{x^{2}}-\frac{2\tan x}{x^{3}}
x
2
sec
x
−
x
3
2
tan
x
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