Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Determine
d
d
x
[
sec
(
x
)
]
\dfrac{d}{dx}\bigl[\sec(\sqrt{x})\bigr]
d
x
d
[
sec
(
x
)
]
for
x
>
0
x>0
x
>
0
. a)
sec
(
x
)
tan
(
x
)
2
x
\dfrac{\sec(\sqrt{x})\tan(\sqrt{x})}{2x}
2
x
sec
(
x
)
tan
(
x
)
b)
sec
(
x
)
tan
(
x
)
\sec(\sqrt{x})\tan(\sqrt{x})
sec
(
x
)
tan
(
x
)
c)
sec
(
x
)
tan
(
x
)
2
x
\dfrac{\sec(\sqrt{x})\tan(\sqrt{x})}{2\sqrt{x}}
2
x
sec
(
x
)
tan
(
x
)
d)
sec
2
(
x
)
2
x
\dfrac{\sec^{2}(\sqrt{x})}{2\sqrt{x}}
2
x
sec
2
(
x
)
Browse the problem library