B Need some help with understanding linear approximations

Click For Summary
The discussion centers on understanding linear approximations in mathematics, particularly for calculating values like (2.94)^4. Participants emphasize choosing a nearby integer, such as 3, for easier calculations and determining Δx as -0.06. The key formula discussed is f(x + Δx) ≈ f(x) + f'(x)Δx, where f(x) = x^4 and f'(x) = 4x^3. Users express frustration with the book's explanations and seek clarity on applying these concepts correctly. Overall, the thread highlights the importance of selecting appropriate values for accurate linear approximations.
  • #31
LCKurtz said:
Apparently you've got it now, but I would suggest part of your problem is inability to do algebra/arithmetic.
As epenguin said "we all have our blind moments".
 

Similar threads

B Linearization of a function error viewed with differentials
  • · Replies 14 ·
Replies
14
Views
2K
B Why do I not understand what seems to be basic Calculus?
  • · Replies 11 ·
Replies
11
Views
2K
I Euler’s approach to variational calculus
  • · Replies 5 ·
Replies
5
Views
2K
I A-level differentiation/derivative dilemma
  • · Replies 38 ·
2
Replies
38
Views
5K
Linear Algebra How hard is this Linear Algebra textbook?
  • · Replies 17 ·
Replies
17
Views
8K
Linear approximation higher order terms
  • · Replies 2 ·
Replies
2
Views
2K
MHB Finding Approximate Critical Number with Newton's Method
  • · Replies 7 ·
Replies
7
Views
5K
Areas And Distances (Intro. to Definite Integral)
  • · Replies 5 ·
Replies
5
Views
1K
How Does Quadratic Approximation Improve Upon Linear Approximation?
  • · Replies 1 ·
Replies
1
Views
5K
MHB Linear Approximation With Trigonometry
  • · Replies 1 ·
Replies
1
Views
1K