Question: Find the derivative of the following:

1. \[d(x)=(2x-3)({{x}^{2}}-6)\]
2. \[e(x)=\frac{{{x}^{3}}-3x+4}{2{{x}^{2}}+3x-2}\]
3. \[f(x)=\frac{{{e}^{3x}}}{{{x}^{2}}+2}\]
4. \[g(x)={{x}^{3}}\ln (2{{x}^{4}}+7)\]
5. \[h(x)=2{{x}^{2}}{{({{x}^{3}}-3)}^{7}}\]
6. \[j(x)=\frac{{{x}^{2}}}{\sqrt{x{}^{2}+1}}\]

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