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If f,g,a n d \ h are differentiable fu...

If `f,g,a n d \ h` are differentiable functions of `x` and `d(x)=|[f,g,h],[(xf)',(xg)',(x h)'],[(x^(2)f)'',(x^2g)'',(x^2h)'']|` prove that `d^(prime)(x)=|[f,g,h],[f',g',h'],[(x^3f' ')',(x^3g' ')',(x^3h ' ')']|`

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