Let . Which of the following is true about the higher-order derivatives of…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let

p(x)=4x^{5}-3x^{2}+6

. Which of the following is true about the higher-order derivatives of

p

? (a)

p^{(5)}(x)=0

for all

x

(b)

p^{(6)}(x)=480

for all

x

(c)

p^{(6)}(x)=0

for all

x

(d)

p^{(4)}(x)=0

for all

x