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Mathematics
Mathematics
Problem
Which of the following expressions is the derivative of
y
=
arctan
x
y=\arctan x
y
=
arctan
x
with respect to
x
x
x
? a)
−
1
1
+
x
2
-\dfrac{1}{1+x^{2}}
−
1
+
x
2
1
b)
1
1
+
x
2
\dfrac{1}{1+x^{2}}
1
+
x
2
1
c)
x
1
+
x
2
\dfrac{x}{1+x^{2}}
1
+
x
2
x
d)
1
1
−
x
2
\dfrac{1}{\sqrt{1-x^{2}}}
1
−
x
2
1
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