Find the following using the table below. egin{tabular}{|c|c|c|c|c|} hline( x ) & 1 & 2 & 3 & 4 \ hline( f(x) ) & 3 & 1 & 4 & 2 \ hline( f^{prime}(x) ) & 4 & 1 & 3 & 2 \ hline( g(x) ) & 4 & 2 & 1 & 3 \ hline( g^{prime}(x) ) & 3 & 2 & 1 & 4 \ hline end{tabular} [ h^{prime}(4) ext { if } h(x)=f(x) cdot g(x) ] ( square ) [ h^{prime}(4) ext { if } h(x)=frac{f(x)}{g(x)} ]
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So, h'(4) = f'(4) * g(4) + f(4) * g'(4) = 2 * 3 + 2 * 4 = 6 + 8 = 14. Show more…
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