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Let f(x) be a polynomial of degree 3 suc...

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

Text Solution

AI Generated Solution

To find the value of \( f'(1) \) for the polynomial \( f(x) \) of degree 3, we will follow these steps: ### Step 1: Formulate the polynomial Since \( f(x) \) is a polynomial of degree 3, we can express it in the form: \[ f(x) = a(x-3)^3 + b(x-3)^2 + c(x-3) + d \] ...
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