Question: Construct a natural cubic spline interpolant for the data x 0 1 2 y 1 1 2 Use matlab to plot the spline and include

Construct a natural cubic spline interpolant for the data

x 0 1 2
y 1 1 2

Use matlab to plot the spline and include the graph in your submission. Find the first and second derivative of the cubic spline at x = 1. Is the spline three times differentiable at x = 1?

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