Question

If f(2)= 10 and f'(x)= x^3/x+6, which of the following is the best approximation for f(2.03) using local linearization?

A. -7.97
B. 8.03
C. 10.03
D. 3.03

Answer 1

Hello there.

If f(2)= 10 and f'(x)= x^3/x+6, which of the following is the best approximation for f(2.03) using local linearization?

C. 10.03

Answer 2

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.