Limited access
$x\quad$ $f(x)\quad$ $f'(x)\quad$ $f''(x)\quad$
0 6 3 1
1 6.5 3.25 1.75
2 7.2 3.8 2.1

Let $f(x)$ be a differentiable function with the values for $f(x)$ and its derivatives given in the table above. Which of the following is the best approximation of $f(1.1)$?

A

$6.5 + 3.25(1.1) + \cfrac{1.75(1.1)^2}{2}$

B

$6.5 + 3.25(0.1) + \cfrac{1.75(0.1)^2}{2}$

C

$6+3(0.1)+\cfrac{1}{2}(0.1)^2$

D

$7.2 +3.8(-0.9) + \cfrac{2.1(-0.9)^2}{2}$

Select an assignment template