Graphically finding derivatives

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    Derivatives
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Homework Help Overview

The discussion revolves around determining the graphs for the first and second derivatives of the function y=f(x), specifically for the equation y=(2^x)/((x^2)-1). Participants are exploring the use of a graphing calculator to visualize these derivatives.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to use the nDeriv function on a TI-83+ calculator to graph the derivatives. There are questions about whether the errors encountered are due to incorrect settings or input methods. Some participants are clarifying the expected graphical representation of derivatives.

Discussion Status

The discussion is ongoing, with some participants providing guidance on how to properly use the nDeriv function. There is a lack of consensus on the cause of the error messages, as some have successfully graphed the derivative while others continue to face issues.

Contextual Notes

Participants are working under the constraint of using a specific graphing calculator model and are discussing potential settings that may affect their ability to graph the derivatives correctly.

vanyel
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Homework Statement


Determine the graphs for f' and f'' for each function y=f(x)


Homework Equations


y=(2^x)/((x^2)-1)


The Attempt at a Solution


I've been out of class for a while, and our textbook is hardly clear as to using nDeriv. I've tried entering in both y1=nDeriv((2^x)/((x^2)-1), x) and y1=nDeriv((2^x)/((x^2)-1), x, x) to graph f', but both result in a few seconds of a graph before spitting out err:argument (using a TI-83+). What am I doing wrong here?
 
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^ Are you supposed to be using your calculator to graph them or plotting them on paper?

What's the graphical representation of the derivative of any curve?
 
we're supposed to graph them on our calculators, then sketch. not sure if that's what you were asking. I'm mostly wondering if the error is due to an incorrect mode or setting or something on the calculator, or if I'm entering the data in improperly.
 
I graphed y1=nDeriv((2^x)/((x^2)-1), x, x) and it came out fine. The window is set to standard.
By the way, when using the nDeriv function, here is how you set it up: nDeriv(function,variable,value)

If you are on the home screen, and you want to calculate the derivative of a specific value to a decimal place, then add tolerance value in decimals at the end. nDeriv(function,variable,value,tolerance)
 
As I wrote in my initial message, I tried to graph exactly as you did. My window was set to Zoom standard. I tried this again, but again the same result came about: err:argument. Any ideas?
 

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