Calculating g`(π/3): An Attempted Solution

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Homework Help Overview

The discussion revolves around calculating the derivative g`(π/3) for the function g(u) = (e^cosu - 1/2) - 6sin(2u). Participants are attempting to derive the correct expression for the derivative and evaluate it at π/3.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to differentiate the function and evaluate it at a specific point, questioning the correctness of their calculations. They raise concerns about the clarity of the function's notation, particularly regarding the use of parentheses and the interpretation of terms like sin(2u) versus sin²(u).

Discussion Status

The discussion is ongoing, with participants expressing uncertainty about their results and questioning where errors may have occurred in their differentiation process. Some guidance has been offered regarding the potential misuse of the chain rule.

Contextual Notes

There are indications of ambiguity in the function's notation, which may affect the interpretation of the problem. Participants are encouraged to clarify these aspects before proceeding further.

SwedishFred
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Homework Statement



Deside g`(π/3) when g(u)= (e^cosu-1/2)-6sin2u

Homework Equations


g`(π/3) when g(u)= (e^cosu-1/2)-6sin2u

3. The attempended solutions
ended upp with g`(u) = -12cosu-(e^cosu) sinu

g´(π/3)= -12cos(π/3)-(e^cos(π/3)) sin(π/3)
= -7.43 that dosen´t seem right..
 
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SwedishFred said:

Homework Statement



Deside g`(π/3) when g(u)= (e^cosu-1/2)-6sin2u

Homework Equations


g`(π/3) when g(u)= (e^cosu-1/2)-6sin2u

3. The attempended solutions
ended upp with g`(u) = -12cosu-(e^cosu) sinu

g´(π/3)= -12cos(π/3)-(e^cos(π/3)) sin(π/3)
= -7.43 that dosen´t seem right..

You will need to use enough parentheses to remove ambiguity regarding your function.

Is the 1/2 an exponent?

Is that sin(2u) or is it sin2(u) ?

etc.
...

.
 
Oki
g(u)=ecos(u)-1/2-6sin(2u)

g´(π/3)= -12cos(π/3)-ecos(π/3)sin(π/3)
= -7.43 that dosen´t seem right..
 
SwedishFred said:
Oki
g(u)=ecos(u)-1/2-6sin(2u)

g´(π/3)= -12cos(π/3)-ecos(π/3)sin(π/3)
= -7.43 that dosen´t seem right..
It's not right.
 
So i figure, where did i mess up , all is it all wrong ??
 
SwedishFred said:
So i figure, where did i mess up , all is it all wrong ??

You made errors when using the chain rule (twice). I would go back and review that and revisit this problem after.
 

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