OK, something has filtered: since x=0.16 is not part of the given data ( and I don't have its corresponding y value), I cannot include x=0.16 as part of the backward,forward or central difference methods.
If I work with the numbers around the 0.16 value, ie. 0.12 and 0.22:
Backward difference...
Homework Statement
I am given a table of data derived from experiment. A force (F) is applied to a spring and the extension (x) is measured and recorded. An additional column of data for the derivative (dF/dx) is also provided.
Here is the data:
x(m) F(kN) df/dx (kN/m)
0.0...