Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Determine whether the function
g
(
x
)
=
{
2
x
2
for
x
≤
2
9
(
x
−
2
3
)
2
for
x
>
2
g(x) = \begin{cases} 2x^2 & \text{for } x \le 2 \\ 9\left(x - \frac{2}{3}\right)^2 & \text{for } x > 2 \end{cases}
g
(
x
)
=
{
2
x
2
9
(
x
−
3
2
)
2
for
x
≤
2
for
x
>
2
is differentiable at
x
=
2
x = 2
x
=
2
.
Browse the problem library