Differentiate the following: sqrt[10/(4+x)]

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Homework Help Overview

The discussion revolves around differentiating the expression sqrt[10/(4+x)], which falls under the subject area of calculus, specifically focusing on differentiation techniques.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss rewriting the expression for differentiation and express confusion regarding the application of the chain rule. There are inquiries about the derivatives of specific components of the expression.

Discussion Status

Participants are actively engaging with the problem, with some providing their attempts at differentiation and others asking for clarification on specific steps. There is a collaborative effort to explore the differentiation process without reaching a definitive conclusion.

Contextual Notes

Some participants have noted confusion regarding the inclusion of the square root in their differentiation attempts, indicating a potential gap in understanding how to apply the chain rule effectively in this context.

Fairy111
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i need to differentiate the following:

sqrt[10/(4+x)]

so i re-wrote it as:

[10(4+x)^-1]^1/2

but am getting very confused when i try to differentiate it.

any help would be great! cheers
 
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Fairy111 said:
i need to differentiate the following:

sqrt[10/(4+x)]

so i re-wrote it as:

[10(4+x)^-1]^1/2

but am getting very confused when i try to differentiate it.

any help would be great! cheers
Could you show your attempt at differentiating the expression?
 


Step by step using the chain rule
What is the derivative of u-1/2?

What is the derivative of v-1?
 


well first i differentiated 10(4+x)^-1
which is -10(4+x)^-2

but i don't know how to include the sqrt...
 

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