Let y = y(x) = f(x) . sin x. TT = -5, f' ( TT If f = - 1 and f'' 1 = = 0, Determine y' NO 2 TT y'The graphs of f(:r:) = m3 9:172 + 24:1: 12 and 9(3) = 3m2 21:17 + 38 intersect at two points. At one of those intersections, the graphs are tangent to each other (meaning they have a common tangent line). Hf Find the coordinates of that point. as = :1 y = S Then find the equation of the line that is tangent to the graphs at the point above. v=_ The graph below is of the function y = 9(5):). Use the differentiation rules to find the derivative of at) at the given value: Let at) = (22:3 + g(m))3 for 9(3) shown above, find the following: (a) f'(-2)= Note: Sometimes the answers are large for this problem. (b) At what value(s) is g(m) NOT differentiable? Explain. HINT: You must use the product rule or quotient rule in these problems