Major h.w help needed tri functions derivatives =\

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Homework Help Overview

The discussion revolves around the differentiation of trigonometric functions, specifically focusing on the derivatives of sin(2x) and cos(2x). Participants are addressing issues related to applying the chain rule and simplifying expressions using trigonometric identities.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are examining the application of the chain rule in differentiating trigonometric functions. There are questions about the correctness of derivatives and the simplification of expressions using trigonometric properties. Some participants are also seeking clarification on specific steps in their calculations.

Discussion Status

Some guidance has been offered regarding the correct application of the chain rule and the importance of careful sign management. Participants are actively discussing their approaches and checking each other's work, with some confirming agreement on specific derivatives.

Contextual Notes

There is a reference to a screenshot of the questions and work, indicating that visual context may be important for understanding the problem. Additionally, participants are exploring multiple questions within the same thread, which may affect the clarity of the discussion.

math_student03
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Hey guys having major trouble with these 2 questions, i have a screen shot of the questions and my work , much easier to understand then me typing it in here. thanks soo much for helping !

http://img204.imageshack.us/my.php?image=img050lc1.jpg
 
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You have the right idea, but you just need to be watch out for a few small things.

First of all:
Remember the Chain Rule:
[tex] \frac{d}{dx}(sin(2x)) = 2cos(2x)[/tex]

Secondly:
Be careful with your minus signs, especially with going from step 2 to step 3.

Finally:
Once you get all that out of the way, go through your trig identities and see if you can't simplify it any (http://www.sosmath.com/trig/Trig5/trig5/trig5.html if you need a good list of them).

- Jason
 
You have an error in the derivitave of sin(2x) and cos(2x). Use the chain rule, you are missing a factor of 2. Continue.
 
ok so basically for my second line i was only missing a 2 for dsin(2x)/dx and dcos(2x)/dx then i can go ahead and simplift using tri propertys? did i mix something up cause i don't see any that are obvious

and secondly, did anyone check out the second question i had on that page, did i do the first and second derivative right?
 
The second one matches what I got.
CC
 

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