# matlab root finding function

To find the root of a function in MATLAB, you can use the built-in function `fzero()`

. The `fzero()`

function is used to find a root of a given function within a specified interval.

Here is the syntax for using the `fzero()`

function:

```
x = fzero(fun, x0)
```

`fun`

is the function for which you want to find the root.`x0`

is the initial guess for the root.

The `fzero()`

function returns the approximate root of the function `fun`

.

For example, let's say you want to find the root of the function `f(x) = x^2 - 4`

starting from an initial guess of `x0 = 1`

. You can define the function and use the `fzero()`

function as follows:

```
fun = @(x) x^2 - 4;
x0 = 1;
x = fzero(fun, x0);
```

In this case, the value of `x`

will be approximately `2`

, which is the root of the function `f(x) = x^2 - 4`

.

Note that the `fzero()`

function requires an initial guess that is close to the root in order to converge to the correct solution. If you provide a poor initial guess, the function may fail to find the root or find a different root altogether.

You can also specify additional options and constraints when using the `fzero()`

function, such as the maximum number of iterations or the tolerance for convergence. You can refer to the MATLAB documentation for more details on these options.

I hope this explanation helps you understand how to use the `fzero()`

function in MATLAB for root finding.