How to check implicit differentiation results with calculator?

In summary, to check implicit differentiation results with a calculator, you will need to use the derivative function found under the "Math" or "Calc" menu. Most scientific or graphing calculators have this function, but some basic calculators may not. There are no special settings or modes required, but it is important to make sure your calculator is in the correct mode for trigonometric functions. While calculators can make mistakes, it is not necessary to use one to check implicit differentiation results, as it is important to also understand the process and verify the results by hand.
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What would be the best way to check the result of implicit differentiation with a TI calculator?
 
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  • #2
Pick a random dy/dx and random y.
Then solve for x and see if f(x) = y in the original equation.
 
  • #3


There are a few different ways to check the result of implicit differentiation using a TI calculator. One option is to graph both the original function and the derivative obtained through implicit differentiation and compare the two graphs. If they overlap or are very similar, then it is likely that the result is correct.

Another way to check the result is to use the calculator's numerical derivative function. This function can be found by pressing the "MATH" button and scrolling to the "nDeriv" option. Input the original function and the value of x for which you want to find the derivative, and then compare the result to the derivative obtained through implicit differentiation. If they are close, then the result is likely correct.

Lastly, you can also manually calculate the derivative using the calculator's differentiation feature. This can be found by pressing the "MATH" button and scrolling to the "dy/dx" option. Input the original function and the value of x for which you want to find the derivative, and then compare the result to the derivative obtained through implicit differentiation. Again, if they are close, then the result is likely correct.

In summary, the best way to check the result of implicit differentiation with a TI calculator is to graph the original function and the derivative, use the numerical derivative function, or manually calculate the derivative using the calculator's differentiation feature. By comparing these results, you can ensure that the result of implicit differentiation is accurate.
 

1. How do I use a calculator to check implicit differentiation results?

To check implicit differentiation results with a calculator, you will need to use the derivative function. This function can usually be found under the "Math" or "Calc" menu on your calculator. Enter the original function and the derivative function into the calculator and compare the results.

2. Can any calculator be used to check implicit differentiation results?

Yes, most scientific or graphing calculators have a derivative function that can be used to check implicit differentiation results. However, some basic calculators may not have this function and therefore cannot be used for this purpose.

3. Are there any special settings or modes I need to use on my calculator for checking implicit differentiation results?

No, there are no special settings or modes required for checking implicit differentiation results with a calculator. However, it is important to make sure that your calculator is set to the correct mode (degrees or radians) when working with trigonometric functions.

4. Can a calculator make mistakes when checking implicit differentiation results?

Yes, calculators can make mistakes when performing calculations. It is important to double check your input and make sure you are using the correct function and settings. Also, some calculators may have limitations when it comes to handling certain types of functions, so it is always best to verify your results by hand as well.

5. Is it necessary to use a calculator to check implicit differentiation results?

No, it is not necessary to use a calculator to check implicit differentiation results. It can be helpful to use a calculator to verify your results, but it is always important to understand the process and be able to solve the problem by hand as well. This will ensure a better understanding of the concept and allow you to catch any mistakes made by the calculator.

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