Easy Derivative Q: 8 - sqr(29-4x+x^2)

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Homework Help Overview

The problem involves finding the derivative of the expression 8 - sqrt(29 - 4x + x^2), which falls under the subject area of calculus, specifically differentiation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the chain rule and the differentiation of constants. Some question the interpretation of the expression, particularly the role of the constant -8 in relation to the square root.

Discussion Status

There are various interpretations being explored regarding the differentiation process. Some participants have offered guidance on how to approach the derivative, while others are clarifying misunderstandings about the expression's structure.

Contextual Notes

Participants are navigating potential confusion regarding the placement of the constant -8 and its impact on the derivative. There is an emphasis on ensuring the correct application of differentiation rules without resolving the underlying assumptions.

amac1212
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Homework Statement



- 8 - sqr(29-4x+x^2)

Homework Equations





The Attempt at a Solution



-8(-1/2)=4

4(29-4x+x^2)^-1/2(2x-4)?

am i on the right track?
 
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I'm no expert,
if you have sqrt(u) you get 1/2sqrt(u)
I don't think you can do the chain rule because you have -8-sqrt(u),
so I think you have to take the derivative of -8 which is 0 - the derivative of sqrt(u).
 
Remember that you can split up [tex]\frac{d}{dx}\left(-8-\sqrt{x^{2}-4x+29}\right)[/tex] to get [tex]\frac{d}{dx}\left(-8\right)-\frac{d}{dx}\left(\sqrt{x^{2}-4x+29}\right)[/tex]. From there you can apply the chain rule.
 
You seem to have thought the -8 was MULTIPLYING the square root- it is not!
 

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