Request for specific derivative data

In summary, the conversation is about verifying results for the value and first six derivatives of various functions evaluated at specific values. The person has attempted to use a website for verification but it was not able to handle the functions. They are asking if anyone has access to a system that can generate the data and it is mentioned that WolframAlpha can provide both analytic and numeric answers for this purpose. The person then confirms that all of their answers were correct.
  • #1
m4r35n357
654
148
I am writing some automatic differentiation routines for Taylor series, and would like to verify my results for the value and first six derivatives of ##sinh## and ##cosh## evaluated at ##\pi /3##, and also ##tanh##, and ##sec^2##, evaluated at ##\pi / 4##.

I have attempted to use this site to check (amongst other methods), but for the functions listed above (I have already verified arithmetic and the simpler functions myself) it cannot cope! Here are my results:

Code:
sinh: 1.249367  1.600287  1.249367  1.600287  1.249367  1.600287  1.249367

cosh: 1.600287  1.249367  1.600287  1.249367  1.600287  1.249367  1.600287

tanh: 0.655794  0.569934 -0.747519  0.330788  2.122361 -7.644586  2.875892

sech^2: 0.569934 -0.747519  0.330788  2.122361 -7.644586  2.875892 93.917658

Does anyone have access to a system that can generate this data?
 
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  • #3
mfb said:
WolframAlpha can do that.
Analytic and as numeric answer.
Thanks for the tip, didn't know that was free! Looks like at least some of my answers are good, still checking . . .
[EDIT] Wow. Looks like they are all correct!
 

1. What is a "specific derivative" in the context of data?

A specific derivative in the context of data refers to a secondary data set that is created from the original data through a mathematical or statistical process. This derivative data can provide additional insights or analysis beyond what the original data alone can provide.

2. How is "specific derivative data" different from raw data?

Raw data refers to the original, unprocessed data collected from a source. Specific derivative data is created from this raw data through various calculations or manipulations to provide a more focused or refined view of the data.

3. What are some examples of specific derivative data?

Examples of specific derivative data include averages, percentages, ratios, trends, correlations, and statistical models such as regression analysis.

4. How can specific derivative data be useful in research or analysis?

Specific derivative data can help researchers and analysts to identify patterns, trends, or relationships in the data that may not be apparent from the raw data alone. It can also provide a more concise and easily interpretable representation of the data.

5. What are some potential limitations or considerations when using specific derivative data?

Some potential limitations of specific derivative data include the possibility of introducing bias through the selection of certain calculations or manipulations, as well as the potential for errors or inaccuracies in the data. It is important to carefully evaluate the methods used to create the derivative data and consider any potential limitations or caveats when interpreting the results.

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