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,