BS MyMathLab Homework xP Do Homework Matthew xC Rate of Cha

BS MyMathLab Homework -xP Do Homework - Matthew xC Rate of Change of Total CX A Matt - a x G C A https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkId=365621989&questionid;=8&flushed;=false&cid; Q & E My MathLabo Matthew Kiral 6/18/16 8:52 PM Homework: Chapter 1 Real World Problems Score: 1.67 of 5 pts 8 of 10 (9 complete) V HW Score: 7833%, 39.17 of 50 pts A Bus Econ 17.75 x E Question Helpo The total outstanding consumer credit of a certain country (in billions of dollars) can be modeled by the function Cx ) =9.22x4 - 85.01x3 +287.282 -309.31x +2651.7, where x is the number of years since 2008. The graph of CX) is shown to the right. Complete parts & s88 (a) through (C). 700 600 a 5000 400 300 2000 100 8 x Number of years since 2003 dC a) Find dx dC dx Enter your answer in the answer box and then click Check Answer. 2 parts remaining Clear All Check Answer o e o e n s Go D \") N 03 P W. o on 8:52 PM 6/18/2016

Solution

c(x) = 9.22x^4 - 85.01x^3 + 287.28x^2 - 309.31x + 2651.7

calculating first derivative of the function

dC / dx = 4* 9.22 x^3 - 3* 85.01 x^2 + 2* 287.28 x - 309.31

dC/ dx = 36.88x^3 - 255.03x^2 + 574.56x - 309.31