Derivative x(t) (Not in Base Package)

Performs a discrete differentiation of the sampled signal X. Details

X is the sampled signal.
initial condition is best described by the equation in the Details section for this VI. The default is 0.0.
final condition is best described by the equation in the Details section for this VI. The default is 0.0.
dt is the sampling interval and must be greater than zero. The default is 1.0. If dt is less than or equal to zero, the VI sets dX/dt to an empty array and returns an error.
dX/dt is the derivative of the input signal.
error returns any error or warning from the VI. Refer to Signal Processing Error Codes for more information about these conditions.

Derivative x(t) Details

The differentiation f(t) of a function F(t) is defined as

Let Y represent the sampled output sequence d/dt X. The discrete implementation is given by

for i = 0, 1, 2, …, n-1,

where n is the number of samples in x(t),

is specified by initial condition when i = 0, and

is specified by final condition when i = n-1.

The initial condition and final condition minimize the error at the boundaries.