Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
(
cos
(
5
x
2
)
)
3
f(x)=\bigl(\cos(5x^{2})\bigr)^{3}
f
(
x
)
=
(
cos
(
5
x
2
)
)
3
. Determine
f
′
(
x
)
f'(x)
f
′
(
x
)
. a)
−
10
x
(
cos
(
5
x
2
)
)
2
sin
(
5
x
2
)
-10x\,(\cos(5x^{2}))^{2}\sin(5x^{2})
−
10
x
(
cos
(
5
x
2
)
)
2
sin
(
5
x
2
)
b)
−
30
x
(
cos
(
5
x
2
)
)
2
sin
(
5
x
2
)
-30x\,(\cos(5x^{2}))^{2}\sin(5x^{2})
−
30
x
(
cos
(
5
x
2
)
)
2
sin
(
5
x
2
)
c)
30
x
(
cos
(
5
x
2
)
)
2
sin
(
5
x
2
)
30x\,(\cos(5x^{2}))^{2}\sin(5x^{2})
30
x
(
cos
(
5
x
2
)
)
2
sin
(
5
x
2
)
d)
−
30
x
cos
(
5
x
2
)
sin
(
5
x
2
)
-30x\,\cos(5x^{2})\sin(5x^{2})
−
30
x
cos
(
5
x
2
)
sin
(
5
x
2
)
Browse the problem library