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Calculus
Multivariable Calculus
Suppose a function f ( x ) has the second derivative f
Undergraduate
Suppose a function f ( x ) has the second derivative f ' ' ( x ) = 2 0 x 3 + 2 .
Suppose a function
f
(
x
)
has the second derivative
f
'
'
(
x
)
=
2
0
x
3
+
2
.
(
a
)
Find the general antiderivative of
f
'
'
(
x
)
.
(
Use C for the constant of integration.
)
f
'
(
x
)
=
(
b
)
Using your answer from part
(
a
)
,
find the general antiderivative of
f
'
(
x
)
.
(
Use K for the constant of integration.
)
f
(
x
)
=
(
c
)
If
f
(
x
)
contains the points
(
2
,
3
0
)
and
(
2
,
3
0
)
,
explicitly define
f
(
x
)
.
f
(
x
)
=
Step by Step Solution
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