Consider the following table of values of the functions f and g and their derivatives at various points. a. Find Dx​(f[g

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Consider The Following Table Of Values Of The Functions F And G And Their Derivatives At Various Points A Find Dx F G 1 (54.84 KiB) Viewed 41 times

Consider the following table of values of the functions f and g and their derivatives at various points. a. Find Dx​(f[g(x)]) at x=1. b. Find Dx​(g[f(x)]) at x=3. \begin{tabular}{c|c|c|c|c} x & 1 & 2 & 3 & 4 \\ \hline f(x) & 3 & 1 & 2 & 4 \\ f′(x) & −3 & −7 & −5 & −2 \\ g(x) & 4 & 2 & 1 & 3 \\ g′(x) & 8/9 & 2/9 & 1/9 & 4/9 \end{tabular}