For the answer to the question above asking which of the following is the best approximation for f(2.03) using local linearization if f(2)= 10 and f'(x)= x^3/x+6?
The answer is f(2.08) ≈ f(2) + f'(2)(2.03 - 2) = 10 + 0.03 = 10.03
So best answer from the choices above is the third one among the given choices.
I hope my answer helped you.
