MATLAB: Method of Newton Rhapson

if true
  % code
end a program on the Newton Rhapson method in GUI.
if true
function varargout = untitled(varargin)
% UNTITLED M-file for untitled.fig
%      UNTITLED, by itself, creates a new UNTITLED or raises the existing
%      singleton*.
%




%      H = UNTITLED returns the handle to a new UNTITLED or the handle to
%      the existing singleton*.
%
%      UNTITLED('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in UNTITLED.M with the given input arguments.
%
%      UNTITLED('Property','Value',...) creates a new UNTITLED or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before untitled_OpeningFcn gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to untitled_OpeningFcn via varargin.
%
%      *See GUI Options on GUIDE's Tools menu.  Choose "GUI allows only one
%      instance to run (singleton)".
%
% See also: GUIDE, GUIDATA, GUIHANDLES
% Edit the above text to modify the response to help untitled
% Last Modified by GUIDE v2.5 27-Jul-2015 13:52:31
% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...
                   'gui_Singleton',  gui_Singleton, ...
                   'gui_OpeningFcn', @untitled_OpeningFcn, ...
                   'gui_OutputFcn',  @untitled_OutputFcn, ...
                   'gui_LayoutFcn',  [] , ...
                   'gui_Callback',   []);
if nargin && ischar(varargin{1})
    gui_State.gui_Callback = str2func(varargin{1});
end
if nargout
    [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
else
    gui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT
% --- Executes just before untitled is made visible.
function untitled_OpeningFcn(hObject, eventdata, handles, varargin)
% This function has no output args, see OutputFcn.
% hObject    handle to figure

% eventdata  reserved - to be defined in a future version of MATLAB

















% handles    structure with handles and user data (see GUIDATA)












% varargin   command line arguments to untitled (see VARARGIN)
% Choose default command line output for untitled
handles.output = hObject;
% Update handles structure
guidata(hObject, handles);
% UIWAIT makes untitled wait for user response (see UIRESUME)
% uiwait(handles.figure1);
% --- Outputs from this function are returned to the command line.
function varargout = untitled_OutputFcn(hObject, eventdata, handles) 
% varargout  cell array for returning output args (see VARARGOUT);
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% Get default command line output from handles structure
varargout{1} = handles.output;
function xini_Callback(hObject, eventdata, handles)
% hObject    handle to xini (see GCBO)

% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% Hints: get(hObject,'String') returns contents of xini as text
%        str2double(get(hObject,'String')) returns contents of xini as a double
% --- Executes during object creation, after setting all properties.




function xini_CreateFcn(hObject, eventdata, handles)
% hObject    handle to xini (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called




% Hint: edit controls usually have a white background on Windows.



%       See ISPC and COMPUTER.




if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end
function tolerancia_Callback(hObject, eventdata, handles)
% hObject    handle to tolerancia (see GCBO)

% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% Hints: get(hObject,'String') returns contents of tolerancia as text
%        str2double(get(hObject,'String')) returns contents of tolerancia as a double
% --- Executes during object creation, after setting all properties.
function tolerancia_CreateFcn(hObject, eventdata, handles)
% hObject    handle to tolerancia (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called
% Hint: edit controls usually have a white background on Windows.
%       See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end
function funcion_Callback(hObject, eventdata, handles)
% hObject    handle to funcion (see GCBO)

% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% Hints: get(hObject,'String') returns contents of funcion as text
%        str2double(get(hObject,'String')) returns contents of funcion as a double
% --- Executes during object creation, after setting all properties.
function funcion_CreateFcn(hObject, eventdata, handles)
% hObject    handle to funcion (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called
% Hint: edit controls usually have a white background on Windows.
%       See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end
function raiz_Callback(hObject, eventdata, handles)
% hObject    handle to raiz (see GCBO)

% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% Hints: get(hObject,'String') returns contents of raiz as text
%        str2double(get(hObject,'String')) returns contents of raiz as a double
% --- Executes during object creation, after setting all properties.
function raiz_CreateFcn(hObject, eventdata, handles)
% hObject    handle to raiz (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called
% Hint: edit controls usually have a white background on Windows.
%       See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end
% --- Executes on selection change in seleccionar.
function seleccionar_Callback(hObject, eventdata, handles)
% hObject    handle to seleccionar (see GCBO)

% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
format long g
f=get(handles.funcion,'string');
xi=get(handles.xini,'string');
Es=get(handles.tolerancia,'string');
xi=str2double(xi);
Es=str2double(Es);
syms x
df=diff(f);
df=inline('df');
ddf=diff(f,2);
ddf=inline('ddf');
f=inline(f);
i=1;
Ea(1)=100;
xi1=x1;
v=get(handles.seleccionar,'value');
switch v
    case 2
        while abs(Ea>=Es)
            fxi=feval(f,xi);
            dfxi=feval(df,xi);
            xi1= xi -(fxi/dfxi);
            Ea=abs((xi1-xi)/(xi1)*100);
            xi=xi1;
            i=i+1;
        end
        h=num2str(xi1);
        set(handles.raiz,'string',h);
        c=str3double(h);
        fplot(handles.grafica,f,[(c-5) (c+5)]);
    case 3
        while abs(Ea>=Es)
            fxi=feval(f,xi);
            dfxi=feval(df,xi);
            ddfxi=feval(ddf,xi);
            xi1= xi -((fxi*dfxi)/((dfxi)^2-fxi*ddfxi));
            Ea=abs(((xi1-xi)/xi1)*100);
            xi=xi1;
            i=i+1;
        end
        h=num2str(xi1);
        set(handles.raiz,'string',h);
        c=str3double(h);
        fplot(handles.grafica,f,[(c-5) (c+5)]);
end
% Hints: contents = cellstr(get(hObject,'String')) returns seleccionar contents as cell array
%        contents{get(hObject,'Value')} returns selected item from seleccionar
% --- Executes during object creation, after setting all properties.
function seleccionar_CreateFcn(hObject, eventdata, handles)
% hObject    handle to seleccionar (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called
% Hint: popupmenu controls usually have a white background on Windows.
%       See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end
% --------------------------------------------------------------------





function Untitled_1_Callback(hObject, eventdata, handles)
% hObject    handle to Untitled_1 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% --------------------------------------------------------------------
function ayuda_Callback(hObject, eventdata, handles)
% hObject    handle to ayuda (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% --------------------------------------------------------------------
function acercade_Callback(hObject, eventdata, handles)
% hObject    handle to acercade (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
acercade
% --------------------------------------------------------------------
function insttrucciones_Callback(hObject, eventdata, handles)
% hObject    handle to insttrucciones (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
instrucciones
% --------------------------------------------------------------------
function borrar_Callback(hObject, eventdata, handles)
% hObject    handle to borrar (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
set(handles.funcion,'string','');
set(handles.xini,'string','');
set(handles.tolerancia,'string','');
set(handles.raiz,'string','');
set(handles.advertir,'string','');
% --------------------------------------------------------------------
function salir_Callback(hObject, eventdata, handles)
% hObject    handle to salir (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
close
Error:
??? Error using ==> feval
Undefined function or method 'pushbutton1_CreateFcn' for input
arguments of type 'double'.
Error in ==> gui_mainfcn at 96
        feval(varargin{:});
Error in ==> untitled at 42
    gui_mainfcn(gui_State, varargin{:});
Error in ==>
@(hObject,eventdata)untitled('pushbutton1_CreateFcn',hObject,eventdata,guidata(hObject))
??? Error using ==> struct2handle
Error while evaluating uicontrol CreateFcn
??? Error using ==> function seleccionar_CreateFcn(hObject,
eventdata, handles)
Error: Function definitions are not permitted at the prompt or
in scripts.
??? Error using ==> struct2handle
Error while evaluating uipanel CreateFcn

I need for it to calculate this equation .

sqrt(5*x+2)-x

and automatic calculate the derivative.

end

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