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Moose352
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Either I'm lost, or my Ti89 has an error in it's CAS (which is unbelievable). What is the derivative of 1/(1-x) ?
Calculating Derivative of 1/(1-x) With a Ti89 Error?
- Context: Calculators
- Thread starter Moose352
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- Derivative Error
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SUMMARY
The derivative of the function 1/(1-x) is definitively calculated as 1/(1-x)^2. This conclusion was reached during a discussion regarding the capabilities of the TI-89 calculator's Computer Algebra System (CAS). The user initially questioned the accuracy of their TI-89, but ultimately confirmed the correct derivative calculation independently.
PREREQUISITES- Understanding of basic calculus concepts, specifically derivatives.
- Familiarity with the function 1/(1-x) and its properties.
- Knowledge of the TI-89 calculator and its CAS functionalities.
- Basic algebra skills for manipulating fractions and expressions.
- Study the rules of differentiation, particularly for rational functions.
- Explore advanced features of the TI-89 calculator, focusing on its CAS capabilities.
- Learn about common errors in calculator outputs and how to verify results manually.
- Investigate other functions and their derivatives to strengthen calculus skills.
Students learning calculus, educators teaching derivative concepts, and users of the TI-89 calculator seeking to understand its capabilities and limitations.
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