2.4.23 Graphing functions using derivatives
condition: Given an entire rational function \( f(x) \) : a) find its smallest and largest values on the interval \( [a, b] \); b) graph this function. \[ f(x)=x^{3}-3 x^{2}-9 x+35, \quad[-4,4] \]
The study of functions using differential calculus according to a given scheme - finding intervals of monotonicity, convexity, extremum points, vertical, horizontal and oblique asymptotes. Plotting graphs based on the research results.