Limited access

Upgrade to access all content for this subject

x f'(x) f"(x) f'''(x)
0 -1 2 -6
1 -1/2 1/4 3/8

Let $f(x)$ be a decreasing function with values for the first, second, and third derivatives evaluated at $x = 0$ and $x = 1$ given in the table shown above.

Given that the third derivative is strictly increasing on the interval $[0,1]$, if a second degree Taylor Polynomial centered at $x = 0$ is used to approximate $f(1)$, find the estimated error using Lagrange error bound.









Select an assignment template