An approximating formula dr(h) is used to calculate the derivative of a given function. With different steplengths these were the result ( in exact arithemtic and no rounding errors)
h drh
0.1 0.50801203103
0.05 0.50100687738
0.001 0.50000000800
Decide, with help from the table, how the error in this approximation formula depends on h. Hint: The error can be written as ch^p and I'm supposed to decide the p for this expression.
The last table value can, compared to the other two, be treated as the exact value of the derivative.
