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## 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 0.0 5.0

0.03 0.3 10.2

0.06 0.5 4.3

0.12 0.7 5.2

0.2 1.8 8.2

0.22 1.9 1.1

The task is: using a difference approximation ( I think this is either backward, forward or central difference approximation), estimate the numerical value of the derivative dF/dx at x=0.16 based on the values provided in the table.

## Homework Equations

None given

## The Attempt at a Solution

None so far. Since I don't know how to go about it.

I know the solution to this must be very simple, but it just won't filter into my brain.