# Find a single root of a function of one variable from an initial guess by Newton's method in one dimension.

### Description

Find a single root of a function of one variable within a specified interval.

### Usage

1 |

### Arguments

`fn` |
A real function of a single variable. |

`gr` |
A function that computes the gradient of |

`x0` |
An initial guess for the value of the root of |

`offset` |
An inverse tolerance for the root. When a new estimate of the root |

`maxiter` |
A limit on the number of function evaluations permitted in the attempt to find a root. |

`trace` |
If TRUE, provided diagnostic output of the process of rootfinding. |

`...` |
Extra data needed to compute the function |

### Details

To be added.

### Value

The output is a list consisting of return(list(root=b, froot=NA, rtol=wtol, maxit=maxit)) ## Acceptable approx. is found */

`root` |
The estimate, b, of the position of the root. |

`froot` |
The value of the function at this point, f(b). |

`rtol` |
The width of the interval in which the root exists. |

`fcount` |
The number of function evaluations used. |

### See Also

`optimize`

### Examples

1 | ```
# examples are in rootoned-package.Rd
``` |