derivative (Scripts) 1.0

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• Last update: 6 years ago
• Price: Free |
• Operating system: Linux, Mac OS X, Win All, BSD, Solaris
• Publisher: Scott McKinney (5 other programs)
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derivative (Scripts) Publisher's description

DERIVATIVE Compute derivative while preserving dimensions

DERIVATIVE Compute derivative while preserving dimensions

DERIVATIVE(X), for a vector X, is an estimate of the first derivative of X.
DERIVATIVE(X), for a matrix X, is a matrix containing the first
derivatives of the columns of X.
DERIVATIVE(X,N) is the Nth derivative along the columns of X.
DERIVATIVE(X,N,DIM) is the Nth derivative along dimension DIM of X.

DERIVATIVE averages neighboring values of the simple finite differencing
method to obtain an estimate of the derivative that is exactly the same
size as X. This stands in contrast to Matlab's built-in DIFF, which, when
computing a derivative of order N on length M vectors, produces a vector
of length M-N. DERIVATIVE is therefore useful for estimating derivatives
at the same points over which X is defined, rather than in between
samples (as occurs implicity when using Matlab's DIFF). This means that,
for example, dX can be plotted against the same independent variables as
X. Note that the first and last elements of DERIVATIVE(X) will be the
same as those produced by DIFF(X).

For N > 1, DERIVATIVE operates iteratively N times. If N = 0, DERIVATIVE
is the identity transformation. Use caution when computing derivatives
for N high relative to size(X,DIM). A warning will be issued.

Unless DIM is specified, DERIVATIVE computes the Nth derivative
along the columns of a matrix input.

EXAMPLE:

t = linspace(-4,4,500);
x = normpdf(t);
dx = derivative(x);
dt = derivative(t);
plot(t,x,t,dx./dt);

System Requirements:

MATLAB 7.8 (R2009a)
Program Release Status: New Release
Program Install Support: Install and Uninstall

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