Java program to find derivative

Additionally, visit link provided by thrashgod : Numerical differentiation. The precision of floating-point numbers floats and doubles depends on the number's absolute value. To get a meaningful result, I would recommend you to multiply that very 1e-8 by the original number's absolute value, this will give you about 7 correct digits in the derivative. Something like:. But for "regular" functions that have the "interesting" part near zero this will work well.

The less is "h", the more precise is the point at which you sample the derivative, but the fewer correct digits of the derivative you get. Also, it would be a good idea to use a "more symmetric" formula, it gives an absolutely correct answer on second order polynomials:. I would use BigDecimal class for such kind of calculations, though it is not an answer to your questions, but it will really improve the precision of floating point arithmetic.

According to the Javadoc, 11 bits represent the exponent and 52 bits represent the significant digits. Disregarding the exponent, it seems you have 52 bits to play with. Adjust this ratio to your needs. How are we doing? Please help us improve Stack Overflow. Take our short survey.

Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Collectives on Stack Overflow. Learn more. Java estimate a derivative at a point Ask Question. Asked 10 years, 9 months ago. Active 10 years, 9 months ago.

Viewed 9k times. How many decimals of precision should I account for. The Dude. The Dude The Dude 7 7 silver badges 15 15 bronze badges. First write a method that reads a file and returns a double array. I assume that all data in the file have 10 seconds difference. Search this forum for examples on how to read a file using BufferedReader or the Scanner class and post your code. Test it and print the array. Once you are done with that, you have your array and simply write a for loop that applies the formula described:.

Can you post the scientific formula that you wan to use. Also indicate which of the elements of the formula are the distance and the time. We're a friendly, industry-focused community of developers, IT pros, digital marketers, and technology enthusiasts meeting, learning, and sharing knowledge. You're trying to visit a URL that doesn't currently exist on the web.

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This is my assignment: The field of calculus is largely concerned with the concepts of the derivative and the integral of functions. Preliminary Rocket Exercise The model program requires that you be able to read some data from a file on disk. Reading a file on disk requires a little bit of set-up. You will need the import java. Altitude meters 0 60 10 2, 20 10, 30 21, 40 33, 50 45, 60 55, 70 65, 80 73, 90 80, 87, 92, 97, , , , , , , , , , , , , , Your output should look like the the graphs below.

The output should look like: Altitude at 0 seconds is Answered by javaAddict in a post from 11 Years Ago. I am having problems in writing the formulas. Facebook Like. Twitter Tweet. Be a part of the DaniWeb community. Can you do this by hand on paper? What I mean is, are you having trouble with the math, or the programming? So now loop over the double array that you've read in and compute the coefficients of a derivative polynomial.

This is not an answer since the question is not clear , but you might be interested in reading about en. Add a comment. Active Oldest Votes. Tharindu Kumara Tharindu Kumara 4, 2 2 gold badges 24 24 silver badges 44 44 bronze badges.

Sign up or log in Sign up using Google. Sign up using Facebook. I've just done a video introducing a library to do that:. Campbell Ritchie. Welcome to the Ranch. You showed up just in time for the waffles! And this tiny ad:. Boost this thread! Need some basic algebra methods