$$ H'(2)= -12+45=33.$$
Work Step by Step
Given $ H(x)=f(x)g(x)$, then we have $ H'(x)=f'(x)g(x)+f(x)g'(x)$ and hence $$ H'(2)=f'(2)g(2)+f(2)g'(2)=-3(4)+5(9)=-12+45=33.$$
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