In MATLAB, the central difference approximation to the first derivative of a function `f(x)`

at point `x0`

can be computed using the following code:

`main.m167 chars4 lines`

Here, `f`

is a function handle that represents the function `f(x)`

, `x0`

is the point at which to compute the derivative approximation, and `h`

is the step size. The central difference approximation is given by the formula:

To use this function, you can define your function `f`

as a separate MATLAB function or anonymous function, and call the `central_diff`

function with appropriate arguments:

main.m270 chars7 lines

This will compute the central difference approximation to `f'(x)`

at `x0`

using step size `h`

, and store the result in the variable `df`

. The result can be displayed using the `disp`

function.

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