Question about should I do exponent rule before quotient rule for derivative

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SUMMARY

The discussion centers on the application of the exponent and quotient rules in calculus, specifically for the function \((\frac{2x + 1}{4x + 3})^2\). Participants clarify that the correct interpretation of the expression requires proper parentheses to avoid ambiguity. The correct derivative process involves first applying the chain rule, followed by the quotient rule to differentiate the inner function.

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  • Familiarity with the quotient rule for derivatives
  • Knowledge of proper notation in mathematical expressions
  • Basic algebra skills for manipulating fractions
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  • Study the application of the chain rule in calculus
  • Review the quotient rule for derivatives with examples
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Torshi
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Homework Statement



([2x+1/4x+3]^2)

Homework Equations


Exponent and quotient rule


The Attempt at a Solution


Would this become:

2* (2x+1/4x+3) then do the quotient rule?
 
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Torshi said:

Homework Statement



([2x+1/4x+3]^2)

Homework Equations


Exponent and quotient rule


The Attempt at a Solution


Would this become:

2* (2x+1/4x+3) then do the quotient rule?

Yes, but what you wrote is incorrect, due to missing parentheses. 2x + 1/4x + 3 means this:
2x + (1/4)x + 3

Do you mean (2x + 1)/(4x + 3)?
 

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