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Mathematics
Problem
Let
p
(
x
)
=
4
x
5
−
3
x
2
+
6
p(x)=4x^{5}-3x^{2}+6
p
(
x
)
=
4
x
5
−
3
x
2
+
6
. Which of the following is true about the higher-order derivatives of
p
p
p
? a)
p
(
5
)
(
x
)
=
0
p^{(5)}(x)=0
p
(
5
)
(
x
)
=
0
for all
x
x
x
b)
p
(
6
)
(
x
)
=
480
p^{(6)}(x)=480
p
(
6
)
(
x
)
=
480
for all
x
x
x
c)
p
(
6
)
(
x
)
=
0
p^{(6)}(x)=0
p
(
6
)
(
x
)
=
0
for all
x
x
x
d)
p
(
4
)
(
x
)
=
0
p^{(4)}(x)=0
p
(
4
)
(
x
)
=
0
for all
x
x
x
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