Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The derivative of a differentiable function
f
f
f
is given by
{
2
,
for
0
≤
x
≤
2
,
−
1
,
for
2
<
x
≤
3.
\begin{cases} 2, & \text{for } 0 \le x \le 2,\\ -1, & \text{for } 2 < x \le 3. \end{cases}
{
2
,
−
1
,
for
0
≤
x
≤
2
,
for
2
<
x
≤
3.
If
f
(
0
)
=
5
f(0)=5
f
(
0
)
=
5
, determine the value of
f
(
3
)
f(3)
f
(
3
)
.
Browse the problem library