Question

The following values of (x) and f(y) are given. Find the best value of (dy/dx) at

(x=6) using center difference method?
x
F(y)
5
3.2188
5.5
3.4096
6.5
3.7436
7
3.8918
7.5
4.0298
3.7436
4.1588​

Answer 1

dy/dx at x=6 is 0.334

Explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

`(dy)/(dx) =(3.7436-3.4096)/(6.5-5.5) =0.334`