%% Differentiate Quotient of Polynomials
% Create two vectors to represent the polynomials in the quotient,
% \frac{x^4-3x^2-1}{x+4}.

p = [1 0 -3 0 -1];
v = [1 4];

%
% Use polyder with two output arguments to calculate
% \frac{q(x)}{d(x)}=\frac{d}{dx} \left[ \frac{p(x)}{v(x)} \right].

[q,d] = polyder(p,v)

% The result is
% \frac{q(x)}{d(x)}=\frac{3x^4+16x^3-3x^2-24x+1}{x^2+8x+16}.
% Copyright 2012 The MathWorks, Inc.