Which of the following MATLAB code snippets correctly computes the backward difference approximation of f'(x)?

easy📝 Syntax Q3 of 15

MATLAB - Numerical Methods

Adf = (f(x) - f(x-h)) / h;

Bdf = (f(x+h) - f(x)) / h;

Cdf = (f(x+h) - f(x-h)) / (2*h);

Ddf = diff(f(x))/h;

Step-by-Step Solution

Solution:

Step 1: Understand backward difference formula
Backward difference uses f(x) and f(x-h): (f(x) - f(x-h))/h.
Step 2: Match formula to code
df = (f(x) - f(x-h)) / h; matches the backward difference formula exactly.
Final Answer:
df = (f(x) - f(x-h)) / h; -> Option A
Quick Check:
Backward difference = (f(x)-f(x-h))/h [OK]

Quick Trick: Backward difference uses current and previous points [OK]

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