Step-by-Step Differentiation Help for 2x(x+4)^8 and x/(x+2)^2

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Homework Help Overview

The discussion revolves around the differentiation of two functions: 2x(x+4)^8 and x/(x+2)^2. Participants are exploring techniques for differentiating these expressions, which involve product and quotient rules, as well as the chain rule.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the product rule for the first function and the quotient rule for the second function. There is also mention of the importance of understanding the chain rule in the context of the first function.

Discussion Status

The discussion includes attempts to clarify differentiation techniques and the application of specific rules. Some participants have expressed that they have successfully differentiated one of the functions, indicating progress in understanding.

Contextual Notes

The original poster requested step-by-step instructions, which suggests a desire for detailed guidance in the differentiation process. There may be varying levels of familiarity with differentiation rules among participants.

haywattsngu
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Differentiation help <URGENT>

I have two functions to differentiate.

1) 2x(x+4)^8

2) x/(x+2)^2

If possible, please include step-by-step instructions.
 
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1. [tex]f(x) = {2x(x+4)^{8}}[/tex]

Have you tried using the product rule?

2. [tex]f(x) = \frac{x}{(x+2)^{2}}[/tex]

Have you tried using the quotient rule?
 
Make sure that you understand the chain rule for #1, if you don't know how to apply it in your sleep yet, keep practicing.
 
I actually got the first answer after I posted! Anyway, thanks for all your help.
 
I actually got the first answer after I posted!
 

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