Question
Question: Let f(x) be a polynomial of degree 3 such that f(3) = 1, f ¢(3) = –1. f ¢¢(3) = 0 and f ¢¢¢ (3) =12...
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
Answer
23
Explanation
Solution
Let f(x) = a(x –3)3 + b(x –3)2 + c(x – 3) + d
Now find f ¢¢ (x), f ¢¢ (x), f ¢¢¢(x) and put x = 3 and solve.