7. Let y = f{x] be a differentiable function of x such that x3 4x2}! + 3,72 = 1. {a} Find all possible slope(s) of the tangentline to 1e curve atx = 'l. (b) 1When I = l, suppose y takes the larger value, find the equation of the corresponding tangent line. 8. Given the curve x2 + 3': = 9. Let (x0. ya) be a point that lies on the curve. Show that the tangent tine at {350,330} is perpendicular to the line joining [0,0] and (In; ya]. 9. Let Jg: R > 1R be two differentiable functions. {a} Evaluate f{x)eg':x:'. {b} Using (a), find a function y such that (133+; _ _x dr ge and }-'(0) = 2