The discussion revolves around determining the change in the function f(x) = x² - x as the variable x changes from a = 3 to a + dx, where dx = 0.04. Participants are tasked with finding both the true change and the estimated change in function values.
The conversation is ongoing, with participants providing guidance on how to compute the true change. There is acknowledgment of mistakes made in calculations, and some participants express confusion about the process, indicating a collaborative effort to clarify the steps involved.
Participants are working under the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There is an emphasis on understanding the change in function values rather than simply arriving at a final answer.
iRaid said:Homework Statement
The function f changes value when x changes from a to a+dx. Find the true change and estimated change.
f(x)=x2-x, a=3, dx=.04
a) .2;.08 b).2016;.2016 c).2016;.2 d).2016;.08
Homework Equations
The Attempt at a Solution
dy=(2x-1)dx
dy=.2
Answer = C, but idk what the first number is.
IDK what to do with that tho lol.
eumyang said:The first number you get from
f(a + dx) - f(a),
it looks like.