Major h.w help needed tri functions derivatives =\

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:
<br /> \frac{d}{dx}(sin(2x)) = 2cos(2x)<br />

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
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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