MathProblemsBank

2.4.33 Graphing functions using derivatives

Condition: Conduct a complete study of this function and construct its graph: \[ y=\frac{x^{2}+1}{x} \]

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.

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