Calculus quotient rule problem

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    Calculus quotient
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Homework Help Overview

The problem involves finding the derivative of the function y = (2x-3)/(√(x^2-5)) using the quotient rule. Participants are discussing the correct application of the quotient rule and addressing potential errors in notation and simplification.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are attempting to apply the quotient rule and clarify the correct form of the function. There are discussions about simplifying square roots and ensuring proper notation with parentheses.

Discussion Status

Several participants are providing guidance on identifying components of the quotient rule and correcting notation. There is an ongoing effort to clarify misunderstandings and ensure accurate calculations, but no explicit consensus has been reached regarding the final answer.

Contextual Notes

There are indications of confusion regarding the placement of parentheses in the original function and the simplification process. Participants are also reflecting on their algebraic mistakes and the challenges of writing mathematical expressions clearly.

  • #31
thearn said:
here is my new answer i am steaming -3x-10 / x^2-5

I think 3x-10 is correct for the numerator, unless I also made an algebra mistake somewhere. But you need to fix the denominator.
 
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  • #32
yep its y'= 3x-10 / root(x^2-5)^3. Thanks you soooo much.
 
  • #33
thearn said:
yep its y'= 3x-10 / root(x^2-5)^3. Thanks you soooo much.

You need parentheses for the terms in the numerator. Also, mixing "root" and the exponents looks pretty weird (not wrong, though).

y' = (3x - 10)/(x2 - 5)^(3/2)
 

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