Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
What is the derivative of
f
(
x
)
=
arcsec
(
x
)
f(x)=\operatorname{arcsec}(x)
f
(
x
)
=
arcsec
(
x
)
for
∣
x
∣
>
1
|x|>1
∣
x
∣
>
1
? a)
f
′
(
x
)
=
x
x
2
−
1
\displaystyle f'(x)=\frac{x}{\sqrt{x^{2}-1}}
f
′
(
x
)
=
x
2
−
1
x
b)
f
′
(
x
)
=
1
x
x
2
−
1
\displaystyle f'(x)=\frac{1}{x\sqrt{x^{2}-1}}
f
′
(
x
)
=
x
x
2
−
1
1
c)
f
′
(
x
)
=
1
∣
x
∣
x
2
−
1
\displaystyle f'(x)=\frac{1}{|x|\sqrt{x^{2}-1}}
f
′
(
x
)
=
∣
x
∣
x
2
−
1
1
d)
f
′
(
x
)
=
1
1
−
x
2
\displaystyle f'(x)=\frac{1}{\sqrt{1-x^{2}}}
f
′
(
x
)
=
1
−
x
2
1
Browse the problem library