Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
When differentiating
y
=
sin
(
3
x
2
)
,
y=\sin(3x^{2}),
y
=
sin
(
3
x
2
)
,
the result is
d
y
d
x
=
6
x
cos
(
3
x
2
)
\dfrac{dy}{dx}=6x\cos(3x^{2})
d
x
d
y
=
6
x
cos
(
3
x
2
)
rather than just
cos
(
3
x
2
)
.
\cos(3x^{2}).
cos
(
3
x
2
)
.
State which part of the function introduces the extra factor
6
x
.
6x.
6
x
.
Browse the problem library