Using MATLAB

1.1 cubicPolyDiff function [cubicDf, cubicD]-cubicPolyDiff (f) Type 4x1 double Input Description Coefficient vector for a general third-degree polyno- mial f(x) (see below) Output cubicDf cubicD Coefficient vector for () 4x1 double Differentiation matrix such that cubicD-f cubicDf 4x4 double Write a MATLAB function which differentiates a general third-degree polynomial f(x)- ao + a+a22 + ajr3, as represented by the input argument f - [a0 ali a2i a3] Details The output cubicDf should be a length 4 column vector, and should be the coeffi- cient vector of the polynomial f( The output cubicD should be the differentiation matrix, such that isequal (cubicD-f, .. cubicDf) evaluates to TRUE. The differentiation matrix cubicD is always the same, regardless of the input. 1.1 cubicPolyDiff function [cubicDf, cubicD]-cubicPolyDiff (f) Type 4x1 double Input Description Coefficient vector for a general third-degree polyno- mial f(x) (see below) Output cubicDf cubicD Coefficient vector for () 4x1 double Differentiation matrix such that cubicD-f cubicDf 4x4 double Write a MATLAB function which differentiates a general third-degree polynomial f(x)- ao + a+a22 + ajr3, as represented by the input argument f - [a0 ali a2i a3] Details The output cubicDf should be a length 4 column vector, and should be the coeffi- cient vector of the polynomial f( The output cubicD should be the differentiation matrix, such that isequal (cubicD-f, .. cubicDf) evaluates to TRUE. The differentiation matrix cubicD is always the same, regardless of the input