Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Verify that
H
(
x
)
=
(
3
x
2
+
2
)
5
5
H(x)=\dfrac{(3x^{2}+2)^{5}}{5}
H
(
x
)
=
5
(
3
x
2
+
2
)
5
is an antiderivative of
h
(
x
)
=
6
x
(
3
x
2
+
2
)
4
h(x)=6x\,(3x^{2}+2)^{4}
h
(
x
)
=
6
x
(
3
x
2
+
2
)
4
by differentiating
H
H
H
and simplifying the result.
Browse the problem library