You derivative function will now look something like this my_der_calc(f, x, N, eps, option) Take you same derivate function from last week and let's make it more general by passing in f(x), and x • • eps is a tolerance for determining the accuracy of your derivatives. We will use this later To test, let's use our function from last laboratory class, x(1-x) The output argument, df, should be the numerical derivatives computed for x according to the method defined by the input argument, option Remember, the forward difference method "loses" the last point, the backward difference method loses the first point, and the central difference method loses the first and last points. So you have use some interpolation to get these points. Try linear • • • By obtaining the derivative at the first and last point, you will have the exact same number of values for both df and x. Although, you could set them to same value as well, however, your plot will only be linear for the interior points Plot df .vs x, notice the functional form of your plot. Compare with the actual form with the derivative of the given function, if the calculated derivative is not within 1 x 103 of the given function derivative add more points until the calculated derivative is less than or equal to 1 × 10-³ of the given function's derivative
You derivative function will now look something like this my_der_calc(f, x, N, eps, option) Take you same derivate function from last week and let's make it more general by passing in f(x), and x • • eps is a tolerance for determining the accuracy of your derivatives. We will use this later To test, let's use our function from last laboratory class, x(1-x) The output argument, df, should be the numerical derivatives computed for x according to the method defined by the input argument, option Remember, the forward difference method "loses" the last point, the backward difference method loses the first point, and the central difference method loses the first and last points. So you have use some interpolation to get these points. Try linear • • • By obtaining the derivative at the first and last point, you will have the exact same number of values for both df and x. Although, you could set them to same value as well, however, your plot will only be linear for the interior points Plot df .vs x, notice the functional form of your plot. Compare with the actual form with the derivative of the given function, if the calculated derivative is not within 1 x 103 of the given function derivative add more points until the calculated derivative is less than or equal to 1 × 10-³ of the given function's derivative
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
Transcribed Image Text:You derivative function will now look something like this my_der_calc(f, x, N, eps, option)
Take you same derivate function from last week and let's make it more general by passing in f(x), and x
•
•
eps is a tolerance for determining the accuracy of your derivatives. We will use this later
To test, let's use our function from last laboratory class, x(1-x)
The output argument, df, should be the numerical derivatives computed for x according to the method
defined by the input argument, option
Remember, the forward difference method "loses" the last point, the backward difference method loses the
first point, and the central difference method loses the first and last points. So you have use some
interpolation to get these points. Try linear
•
•
•
By obtaining the derivative at the first and last point, you will have the exact same number of values for
both df and x. Although, you could set them to same value as well, however, your plot will only be linear
for the interior points
Plot df .vs x, notice the functional form of your plot.
Compare with the actual form with the derivative of the given function, if the calculated derivative is not
within 1 x 103 of the given function derivative add more points until the calculated derivative is less
than or equal to 1 × 10-³ of the given function's derivative
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