Let be a polynomial of degree 3 such that , ,

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Let

f(x)

be a polynomial of degree 3 such that

f(3)=1

f'(3)=-1

f''(3)=0

, and

f'''(3)=12

. Then the value of

f'(1)

is (a) 12 (b) 23 (c) -13 (d) none of these