Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A function
p
p
p
has a Taylor polynomial centered at
x
=
2
x=2
x
=
2
given by
P
(
x
)
=
1
+
4
(
x
−
2
)
+
3
2
(
x
−
2
)
2
+
1
6
(
x
−
2
)
3
.
P(x)=1+4(x-2)+\frac{3}{2}(x-2)^2+\frac{1}{6}(x-2)^3.
P
(
x
)
=
1
+
4
(
x
−
2
)
+
2
3
(
x
−
2
)
2
+
6
1
(
x
−
2
)
3
.
What are
p
′
(
2
)
p'(2)
p
′
(
2
)
and
p
′
′
(
2
)
p''(2)
p
′′
(
2
)
? a)
p
′
(
2
)
=
2
and
p
′
′
(
2
)
=
3
p'(2)=2\text{ and }p''(2)=3
p
′
(
2
)
=
2
and
p
′′
(
2
)
=
3
b)
p
′
(
2
)
=
4
and
p
′
′
(
2
)
=
3
2
p'(2)=4\text{ and }p''(2)=\dfrac{3}{2}
p
′
(
2
)
=
4
and
p
′′
(
2
)
=
2
3
c)
p
′
(
2
)
=
4
and
p
′
′
(
2
)
=
3
p'(2)=4\text{ and }p''(2)=3
p
′
(
2
)
=
4
and
p
′′
(
2
)
=
3
d)
p
′
(
2
)
=
3
and
p
′
′
(
2
)
=
4
p'(2)=3\text{ and }p''(2)=4
p
′
(
2
)
=
3
and
p
′′
(
2
)
=
4
Browse the problem library