Calc Question: Finding Secant Slope?

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    Secant Slope
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Homework Help Overview

The discussion revolves around finding the slope of a secant line related to the function \( y = \frac{x}{1+x} \) and involves the derivative of the secant function. Participants are attempting to clarify the correct formula and approach to calculate the slope.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the correct formula for the slope of a secant line and questioning the accuracy of their calculations. There is mention of using a calculator to find the slope for a specific value of \( x \) and comparing results.

Discussion Status

The discussion is ongoing, with participants sharing their calculations and questioning the correctness of their approaches. Some guidance on the derivative of the secant function has been provided, but there is no clear consensus on the calculations presented.

Contextual Notes

There appears to be confusion regarding the formula for the slope and the calculations involved, with some participants expressing uncertainty about their results. The specific value of \( x \) being used for the secant line calculation is also noted.

sjaguar13
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I wrote down the notes from class, but when I tried to do the homework, I am not even close to the right answers. The formula I wrote down is:
[tex]\frac{-1}{(x)(x+h)}[/tex]
Apparently that's wrong. Anyone know what it's supposed to be?
 
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Do you mean the derivative of [tex]f(x)=\sec x[/tex]? In that case it's [tex]\sec{x}\tan{x}[/tex].
 
The point [tex]\mbox(p(1,\frac{1}{2}))[/tex] lies on the curve [tex]y=\frac{x}{1+x}[/tex].
If [tex]Q[/tex] is the point [tex](x,\frac{x}{(1+x)})[/tex], use your calculator to find the slope of the secant line [tex]PQ[/tex] for the following value of [tex]x[/tex]: 0.5

I get -2, but it's really .33333.
 
The slope is simply
[tex]a=\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex]

and i get 1/3...

Daniel.
 

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