Consider the following table of values of the functions f and g and their derivatives at various points. a. Find Dx(f[g
Posted: Thu Jul 14, 2022 4:42 pm
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}