Values of a differentiable function h near x=4.00 are provided.
x
3.95
4.00
4.05
4.15
h(x)
7.212
7.389
7.581
7.963
Use the table to approximate h′(4.00).
(a) Choose the pair of function values from the table that you believe will yield the most reliable numerical approximation of h′(4.00). State your choice and give one brief reason for it.
(b) Using the values you selected in part (a), calculate h′(4.00) correct to four decimal places.