Derivative Troubles: A Scientist's Dilemma?

  • Thread starter Thread starter Garlic
  • Start date Start date
  • Tags Tags
    Derivative
Click For Summary
SUMMARY

The discussion centers on the challenges faced by a scientist in deriving a function correctly. The participant initially believed their solution was accurate but discovered discrepancies with the correct answer. Key issues identified include improper application of the derivative rules, specifically the FOIL method and the chain rule. The participant acknowledges that the errors originated in the initial steps of the derivation process.

PREREQUISITES
  • Understanding of basic calculus concepts, specifically derivatives.
  • Familiarity with the FOIL method for multiplying binomials.
  • Knowledge of the chain rule for differentiation.
  • Ability to apply mathematical equations in problem-solving scenarios.
NEXT STEPS
  • Review the principles of the FOIL method in polynomial multiplication.
  • Study the chain rule in depth, focusing on its applications in complex functions.
  • Practice deriving various functions to reinforce understanding of differentiation techniques.
  • Explore common pitfalls in calculus to avoid similar mistakes in future problems.
USEFUL FOR

This discussion is beneficial for students studying calculus, educators teaching mathematical concepts, and anyone seeking to improve their skills in function differentiation.

Garlic
Gold Member
Messages
181
Reaction score
72
Hello PF,

1. Homework Statement

I've been having problems with the deriative of a function, although I thought I've done everything right, my solution doesn't match with the right solution. I have no clue what (or if) I've done anything wrong, or simply don't know the tricks I was supposed to use.

Homework Equations

+ 3. The Attempt at a Solution [/B]

IMAG1382_1.jpg
 
Physics news on Phys.org
Okay, so it appears, that I haven't correctly derived the function at the beginning, so the problem begins with the first row.
 
Foil everything... Than you're just going to be using the chain rule
 
  • Like
Likes   Reactions: Garlic
Take the derivative with respect to t
 
Thank you! :smile:
 
  • Like
Likes   Reactions: sunnnystrong

Similar threads

Determine for which x the derivative exists of: ##f(x)=\ln|\sin(x)|##
  • · Replies 2 ·
Replies
2
Views
2K
The derivative of uv wrt x using st function (homework problem)
  • · Replies 6 ·
Replies
6
Views
2K
Tensor Covariant Derivative Expressions Algebra (Fermi- Walk
  • · Replies 7 ·
Replies
7
Views
2K
Derivative of Inverse Function
  • · Replies 14 ·
Replies
14
Views
2K
I with simple Differential Equation.
  • · Replies 2 ·
Replies
2
Views
1K
Partial derivative stationary point
  • · Replies 3 ·
Replies
3
Views
2K
Component of Lie Derivative expression vector field
  • · Replies 5 ·
Replies
5
Views
2K
Finding the Derivative of y=sqrt(x+sqrt(x+sqrt(x)))
  • · Replies 7 ·
Replies
7
Views
3K
Two Functions with the Same Derivative
  • · Replies 10 ·
Replies
10
Views
4K
Instantaneous rate of change and deriving a fraction
  • · Replies 23 ·
Replies
23
Views
3K