Home
Random
Log in
Settings
Donate
About Wikiversity
Disclaimers
Search
Inverse trigonometric functions/Derivative/Fact
Language
Watch
Edit
The inverse trigonometric functions have the following derivatives.
(
arcsin
x
)
′
=
1
1
−
x
2
.
{\displaystyle {}{\left(\arcsin x\right)}'={\frac {1}{\sqrt {1-x^{2}}}}\,.}
(
arccos
x
)
′
=
−
1
1
−
x
2
.
{\displaystyle {}{\left(\arccos x\right)}'=-{\frac {1}{\sqrt {1-x^{2}}}}\,.}
(
arctan
x
)
′
=
1
1
+
x
2
.
{\displaystyle {}{\left(\arctan x\right)}'={\frac {1}{1+x^{2}}}\,.}
(
arccot
x
)
′
=
−
1
1
+
x
2
.
{\displaystyle {}{\left(\operatorname {arccot} x\right)}'=-{\frac {1}{1+x^{2}}}\,.}
Proof
,
Write another proof
