Consider the three curves defined by Each curve is either a function

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the three curves defined by

A(x) = x^{3} + 2,

B(x) = 3x^{2},

C(x) = 6x.

Each curve is either a function

f

, its first derivative

f'

or its second derivative

f''

. Identify which curve corresponds to

f

f'

, and

f''