2.4.20 Graphing functions using derivatives
Condition: Investigate the function \( y=f(x) \) using differential calculus. Construct its graph: \[ y=x^{3}+3 x^{2}-8 \]
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.