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# Higher Order Derivatives: The Zero Function

APCALC-UPSIRJ

If $y={ x }^{ 5 }+2{ x }^{ 4 }+3{ x }^{ 3 }+{ x }^{ 2 }+5$, which of the higher order derivatives below represents the zero function?

A

$\cfrac { { d }^{ 6 }y }{ d{ x }^{ 6 } }$

B

$\cfrac { { d }^{ 5 }y }{ d{ x }^{ 5 } }$

C

$\cfrac { { d }^{ 4 }y }{ d{ x }^{ 4 } }$

D

$\cfrac { { d }^{ 3 }y }{ d{ x }^{ 3 } }$