Taking the derivative (no numbers)

  • Thread starter Thread starter ME_student
  • Start date Start date
  • Tags Tags
    Derivative Numbers
Click For Summary

Homework Help Overview

The discussion revolves around the differentiation of a differential characteristic equation involving trigonometric functions, specifically sine and cosine, with respect to the variable t. The original poster seeks validation of their differentiation process and simplification steps.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the product rule and chain rule in their differentiation process. They express uncertainty about the correctness of their work and simplifications. Some participants question the clarity of the image provided, while others offer brief confirmations of the differentiation steps.

Discussion Status

The discussion includes some participants providing feedback on the differentiation attempt, with a mix of affirmations and concerns regarding the simplification. There is no explicit consensus on the correctness of the simplification, as one participant points out a specific mathematical error related to trigonometric identities.

Contextual Notes

The original poster's work is presented in an image format, which has led to challenges in visibility and clarity for other participants. There is also an indication of homework constraints that prevent the full equation from being shared in text form.

ME_student
Messages
108
Reaction score
5

Homework Statement


So I'd rather not type out the whole equation I am differentiating with respect to t... Sorry admins. My written work is on the image. I just want to make sure my work is correct.

Homework Equations


The equation is a differential characteristic equation with cos and sin.

The Attempt at a Solution


The attempt solution is on the image. Start at Line 1 to Line 2.

I applied product rule twice with chain rule. We are taking the derivative of the formula with respect to t.
 

Attachments

  • 20150404_155429.jpg
    20150404_155429.jpg
    38.5 KB · Views: 467
Physics news on Phys.org
From what I can see in that little thumbnail, it looks fine.
 
vela said:
From what I can see in that little thumbnail, it looks fine.[/QUOTE

Okay thanks. Does my simplifying look fine as well?
 
You simplified? It's hard to see anything in that little thumbnail, so I'll take your word for it. I suppose I could click on the thumbnail to bring up the larger image, but I'd rather not.
 
ME_student said:
Okay thanks. Does my simplifying look fine as well?
No .

sin(θ) + cos(θ) ≠ 1

However, sin2(θ) + cos2(θ) = 1, but you don't have that anywhere.
 
Sorry for the small iMage. I got it figured out.
 

Attachments

  • 20150405_133537.jpg
    20150405_133537.jpg
    40.2 KB · Views: 448

Similar threads

  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
10
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
9
Views
2K