Question: Find the derivative of the following:

a. \[d(x)=(2x-3)({{x}^{2}}-6)\]

b. \[e(x)=\frac{{{x}^{3}}-3x+4}{2{{x}^{2}}+3x-2}\]

c. \[f(x)=\frac{{{e}^{3x}}}{{{x}^{2}}+2}\]

d. \[g(x)={{x}^{3}}\ln (2{{x}^{4}}+7)\]

e. \[h(x)=2{{x}^{2}}{{({{x}^{3}}-3)}^{7}}\]

f. \[j(x)=\frac{{{x}^{2}}}{\sqrt{x{}^{2}+1}}\]