Consider the function D(x) = e^x and

 

where L = 1, so H(x) is a first-order polynomial function. In the interval 0 ≤ x ≤ 1, find the coefficients b0, b1 that minimizes the maximum error between H(x) and D(x),

max 0≤x≤1 |H(x) − D(x)|.

(Hints: The number of points where the maximum error occurs is L + 2 = 3 where two of the m occur at x = 0 and x = 1. Also note that you need three points to solve for two coefficients b0 and b1.)

2 bkak k=0