Four polynomial curves are available: W , X , Y , Z
MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem
Four polynomial curves are available:
W(x)=x4−4x2, X(x)=4x3−8x, Y(x)=12x2−8, Z(x)=24x.
A teacher wishes to select three of these curves to represent a function f, its first derivative f′, and its second derivative f′′ in that order. Which ordered triple could serve this purpose?
(a) (X,Z,Y)
(b) (W,Y,Z)
(c) (W,X,Y)
(d) (Y,Z,X)