Calculus helps you perform the deferential or integral function on the data in any curve.
Differential
Differential numerically differentiates the curve data.
•Linear
The N points
are given. The differential of
points is defined as,

•Smooth
The smoothing
differential evaluates the derivative by fitting a Cspline(cubic spline) to the
curve data and analytically forming the derivative. Given a tabulated function
, focus attention on particular
interval, between
and
. The cubic
spline interpolation in that interval gives the interpolation formula
where,

The first derivative of Cspline is obtained as,

Integral
Integral numerically integrates the curve data.
•Linear
The N points
are given. The integral of points is
defined as,

•Smooth
The smoothing
integral evaluates the integral by fitting a Cspline(cubic spline) to the curve
data and analytically forming the integral. Given a tabulated function
, focus attention on particular
interval, between
and
. The
cubic spline interpolation in that interval gives the interpolation formula
where,

The integral of Cspline is obtained as,
