calculate approximate derivative in matlab

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Minh
Minh 2022년 12월 16일
답변: Sam Chak 2022년 12월 16일
Hi, I'm not sure where to begin translating the solution of this problem into a function in MATLAB.
approximate the derivative of the function y=log x at the point x=1 from the following table of numbers:
  댓글 수: 1
Jan
Jan 2022년 12월 16일
You can use the left, right or two-side quotient of differences: dx = (y - y0)/(x - x0).
The implementation is easy, but I don't want to solve your homework.

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답변 (1개)

Sam Chak
Sam Chak 2022년 12월 16일
Not sure if you are looking for this
syms x
y = log(x)
y = 
dydx = diff(y)
dydx = 
However, please check the data in the Table because
log(1)
ans = 0
Else, you can approximate the derivative using this principle
so long as .
x = 0.98:0.02:1.02
x = 1×3
0.9800 1.0000 1.0200
y = [0.7739332 0.7651977 0.7563321]
y = 1×3
0.7739 0.7652 0.7563
dydx1 = (y(2) - y(1))/(x(2) - x(1))
dydx1 = -0.4368
dydx2 = (y(3) - y(2))/(x(3) - x(2))
dydx2 = -0.4433

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