**Description**

A natural cubic spline with continuous second derivative in the interior and zero second derivative at the end points. Differentiate at point t.

**Excel Function Syntax**

CubicSplineDifferentiate(xValues, yValues, t)

**Online Calculator**

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**Description**

A natural cubic spline with continuous second derivative in the interior and zero second derivative at the end points. Differentiate at point t.

**Excel Function Syntax**

CubicSplineDifferentiate(xValues, yValues, t)

**Online Calculator**

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Converts a oil specific gravity to API gravity

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Converts a API gravity to oil specific gravity (water=1.0)

DataDifferentiate

Derivative for data samples at point t with smoothing.

ExpIntegralEi

The exponential integral function – Ei(x)

ProximalInterpolate

Proximal (Nearest-neighbor) Interpolation Algorithm. Interpolate at point t.

CubicSplineInterpolate

A natural cubic spline with continuous second derivative in the interior and zero second derivative at the end points. Interpolate at point t.

CubicSplineIntegrate

A natural cubic spline with continuous second derivative in the interior and zero second derivative at the end points. Integrate up to point t.

CubicSplineIntegrateT1T2

A natural cubic spline with continuous second derivative in the interior and zero second derivative at the end points. Integrate from point t1 up to point t2.

CubicSplinesIntersection

x value of intersection point between two cubic splines.

LinearSplineInterpolate

Linear Spline Interpolation Algorithm. Interpolate at point t.

LinearSplineDifferentiate

Linear Spline Interpolation Algorithm. Differentiate at point t.

LinearSplineIntegrate

Linear Spline Interpolation Algorithm. Integrate up to point t.

LinearSplineIntegrateT1T2

Linear Spline Interpolation Algorithm. Integrate from point t1 up to point t2.

LinearSplinesIntersection

x value of intersection point between two linear splines.

StepInterpolate

Step Interpolation Algorithm. Interpolate at point t.

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