?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Moderate

Fourth Degree Taylor Polynomial

APCALC-GY0SDU

Let:

$$P\left( x \right) =x-1/2{ x }^{ 2 }+1/3{ x }^{ 3 }-1/4{ x }^{ 4 }$$

...be a 4th degree Taylor polynomial for the function $f$ about $x = 0$.

What is the value of $f’’’’(0)$?

A

-1/24

B

-1/4

C

-1

D

-6