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If f, g, h are differential functions of x and Δ = |(f, g, h), ((xf)', (xg)', (xh)'), ((x^2f)", (x^2g)", (x^2h)")| then

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If f, g, h are differential functions of x and Δ = |(f, g, h), ((xf)', (xg)', (xh)'), ((x2f)", (x2g)", (x2h)")| then prove that

 

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We have Δ = |(f, g, h), ((xf)', (xg)', (xh)'), ((x2f)", (x2g)", (x2h)")|

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