% Matlab tutorial on plotting the exponential function
%and its Taylor Polynomial at a =0.

%To access the manual of Matlab 
% type: 
% help function name
%example: help plot

>>clear all;
>>clf ;
>>x=linspace(-1,1);
>>plot(x, exp(x));
>>hold on ;
%Plotting the linear Taylor polynomial.
>>plot(x, 1 + x) ; 
%Plotting the quadratic Taylor polynomial.
>>plot(x, 1 + x + x.*x/2 ) ;
%Plotting the cubic Taylor polynomial.
>>plot(x, 1 + x + x.*x/2 + x.*x.*x/(factorial(3)));
%placing a labeling for each plotted graph
>>legend('exp(x)', 'p1(x)', 'p2(x)', 'p3(x)', 'Location', 'NorthWest' )
%Giving a title to the plot
>>title('f(x)=exp(x) and Taylor Polynomials of degrees 1,2 and 3.')
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% Matlab tutorial on number representation
%
%to generate the hexadecimal format for a given number.
%To access the manual of Matlab 
% type: 
% help function name
%example: help format
>>clear all;
>>format hex 
>>7
401c000000000000
>>format short ; 
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Checking the differentiation using MATLAB Symbolic Toolbox.
>>syms x
>>f = cos(5*x);
%The command differentiates f with respect to x.
>>diff(f)