MATLAB: How to calculate the derivative of any function f(x) at x=0 using finite difference method

derivativedifferential equationsfinite difference methodhomeworkMATLAB and Simulink Student Suitenumerical integrationode

Let's say I have any unknown function

and I know its value for some x i.e.

for

x=1:10

f(x)=[a b c d e f g h i j k l m]

where

are some numerical values.

Can I calculate derivative of

with this given data?

if ‘a,b,c’ are numerical values and not functrions of ‘x’, the derivative would be uniformly 0.

f=@(x)6.78*sin(x-0.646)-2.67*exp(-x/0.754);
x1=fzero(f,[0 1]);
x2=fzero(f,[3 4]);

Best wishes

Torsten.

Is it a polynomial, or an equation involving tan(x) and exp(x)?

Have you looked at fzero()?

For example, if you have the equation

y = tan(x) and you want find a root near 3

fzero(@tan,3)

Gives you the root at pi.