Question

a) Apply the 5-point differencing scheme from 11.2, using nodes with spacing Δι-0.1, to calculate the third derivative f") of the following function at x-1: Be sure to write out your nodes and carry all calculations to at least 4 decimals. ](x)-e b) Calculate the percent error in your calculation from (a) Note that first you'll have to analytically evaluate f (1).) Aside: "Decimals" vs. "Significant Figures" To make sure we agree on the difference between the two, here's a primer: Consider the number x = 1234.56789123 Here's x to 4 significant figures: x 1235. Here's x to 4 decimals: x= 1234.5679 (which has much more than 4 sig, figs) I really do want values in 11.4 calculated accurately to 4 decimals, so you can properly evaluate the error in the method, which can sometimes get very small

Answer 1