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fThe graphs of f(:r:) = m3 99:2 + 24:1: 12 and 9(2'.) 2 39:2 21:1: + 38 intersect at two points. At one of those

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\fThe graphs of f(:r:) = m3 99:2 + 24:1: 12 and 9(2'.) 2 39:2 21:1: + 38 intersect at two points. At one of those intersections, the graphs are tangent to each other (meaning they have a common tangent line). >44 Find the coordinates of that point. x = :1 v = :1 Then find the equation of the line that is tangent to the graphs at the point above. F The graph below is of the function y = g(m). Use the differentiation rules to find the derivative of x) at the given value: Let at) = (2:133 + g(m))3 for g(m) shown above, find the following: (a) f'= Note: Sometimes the answers are large for this problem. (5) At what value(s) is g(a:) NOT differentiable? Explain. HINT: You must use the product rule or quotient rule in these problems

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