MATLAB Solve f'(0) w/ MATLAB: Optimal h for f(x)=e^x

  • Thread starter Thread starter kreil
  • Start date Start date
  • Tags Tags
    Matlab Program
AI Thread Summary
The discussion revolves around creating a MATLAB program to compute the derivative of the function f(x) = e^x at x = 0 using both forward and central difference formulas with varying values of h. Participants emphasize the importance of understanding the definitions of derivatives and the formulas for finite differences. One contributor suggests writing a MATLAB function that takes h as input and outputs the derivative. There is a focus on determining the optimal value of h, which relates to its proximity to the true derivative value. Additionally, there is a mention of resources for learning about finite differences and programming basics, highlighting that programming skills are not a prerequisite for tackling the problem.
kreil
Science Advisor
Insights Author
Messages
665
Reaction score
68

Homework Statement


Write a MATLAB program to compute f'(0) for f(x)=e^x and h=1;0.1;0.01...1E-9 using the forward and central difference formula. What is the optimal h?



The Attempt at a Solution



I have no clue how to write programs in matlab, if anyone can help me get started I would REALLY appreciate it.
 
Physics news on Phys.org
you mean a MATLAB script right?
 
Anyway my advice is to write a function as have h as the input, and f' as the output..
in the function, you will just write the formula as a function of h.
as for which value is optimum, well it's related to how close it is to the real value...
 
Last edited:
Well, for staters, do you know the two expressions for the derivative that are mentioned in the assignment?

In other words, do you know how to express the derivative as each of these two kinds of differences?

- Warren
 
no, i don't know what the formulas are
 
Then your first step must be looking up the definition of a derivative in your textbook.

- Warren
 
i know what a derivative is, i don't know how to program in matlab.

f'(x)=\lim_{h{\rightarrow}0}\frac{f(x+h)-f(x)}{h}
 
Do you know how to program at all ?
in any language?
 

Similar threads

Back
Top