Each function f(x) changes value when x changes from x0 to x0plusdx. find the change upper deltafequalsf(x0plusdx)minusf(x0), the value of the estimate dfequalsf prime(x0) dx, and the approximate error startabsolutevalue upper delta f minus df endabsolutevalue.

The customer price index(cpi), which measures the cost of a typical package of customer goods,was 208.8 in 2011 and 244.1 in 2016.let x=11 corresponding to the year 2011 an estimate to cpi into 2013 and 2014. assume that the data can be modeled by a straight line and the trend to continue idenfinitely.use data points to find such a line and then estimate the requested quantities