TI-89 Differentiation: How to Get Algebraic Derivative and Why Negative Result?

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SUMMARY

The TI-89 calculator can output numerical solutions instead of algebraic derivatives when variables are incorrectly defined. To obtain the algebraic derivative of a function like d(x^2,x), ensure that 'x' is not defined as a constant. Additionally, the calculator must be set to degrees to avoid discrepancies in trigonometric outputs, such as the difference between sin(60) results on the TI-89 and TI-83. Users can reset 'x' to a variable by accessing the VAR-LINK menu and deleting any stored values associated with 'x'.

PREREQUISITES
  • Understanding of TI-89 calculator functions
  • Knowledge of algebraic differentiation
  • Familiarity with trigonometric functions and their settings
  • Basic navigation of calculator menus
NEXT STEPS
  • Learn how to perform algebraic differentiation on the TI-89
  • Explore the VAR-LINK menu for variable management on the TI-89
  • Study the differences in calculator settings between TI-89 and TI-83
  • Investigate the implications of radians versus degrees in trigonometric calculations
USEFUL FOR

Students, educators, and anyone using the TI-89 calculator for algebraic differentiation and trigonometric calculations.

Helicobacter
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1. After I launch the "Home" program and enter

d(x^2,x)

The calculator spits out -52.4916, a numerical solution. What I want is the algebraic derivative 2x - how do I get to the algebraic derivative?

2. When I enter sin(60), it gives me -0.304811 as an output. Why does the Ti-89 give a negative result, while the Ti-83 provides me with a positive one?

Sorry if I'm in the wrong forum. The forum search didn't spit out anything.
 
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1. Make sure you don't have x defined as some constant. If you just enter 'x,' what does it return?

2. Make sure the calculator is set for degrees, not radians.

- Warren
 
chroot said:
1. Make sure you don't have x defined as some constant. If you just enter 'x,' what does it return?

2. Make sure the calculator is set for degrees, not radians.

- Warren

Thank you for your feedback, Warren. You are right, I associated a number with x. How can I make it a variable again?
 
Helicobacter said:
Thank you for your feedback, Warren. You are right, I associated a number with x. How can I make it a variable again?

I think there's a menu option, I think second then f1, or maybe f5 will give you the option to clear a-z or maybe it's under the var-link think which would be second then "-". The batteries in my 89 are dead so I can't check which one it is, but I'm pretty sure it's one of those.
 
I have my TI-89 right here, so I'll look. Yep, go to VAR-LINK and scroll down until you see stored items and you should see "x" there. Delete it and you're good!
 

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