Mathematics Homework Help

APUS WK 8 Calculus Get the Rate of Change of A Function Problem

 

Rate of Change WITHOUT derivatives

PROBLEM: Given f(x)=.04(8x-x2) Find the rate of change of elevation when
x = 2 WITHOUT taking a derivatives directly. Instead use find the slope between f$f(2-Delta x) textup{ and }  f(2+Delta x)f$

The first student should let f$Delta f$ x = 1 using discussion title Delta x=1. Then use f(2+1) and f(2-1) to find the slope between two points (1, f(1)) and (3, f(3)). The first line of their post should be f$displaystyle Delta x=1f$
The second student should select a different value f$Delta f$ x < 1 and find the appropriate f(x+f$Delta f$ x ) and f(x-f$Delta f$ x ) to find the slope between two DIFFERENT POINTS closer to the x=2 value. Also include in your title the value of your f$Delta f$ x!
The third student should select and POST their new f$Delta f$ x < the second student’s value. Again find the new appropriate f(x+f$Delta f$ x ) and f(x-f$Delta f$ x ) to find the slope between two DIFFERENT POINTS even closer to the x=2 value.
Etc.