An essential function in statistics and the study of the normal distribution is the error function a. Compute the derivative of erf(x). b. Expand  in a Maclaurin series; then integrate to find the...

An essential function in statistics and the study of the normal distribution is the error function

a. Compute the derivative of erf(x).

b. Expand  in a Maclaurin series; then integrate to find the first four nonzero terms of the Maclaurin series for erf.

c. Use the polynomial in part (b) to approximate erf(0.15) and erf(-0.09).

d. Estimate the error in the approximations of part (c).