Function Analysis
You already know how to compute limits and derivatives — now it’s time to actually use them. Any phenomenon in which one quantity changes with another can be described by a function and represented on a graph.
Such a graph can be analyzed very precisely, allowing us to describe these phenomena with great accuracy.
In my longer blog articles, I explain theoretical topics related to asymptotes and extrema of functions in clear and simple language.
Lecture 1 – Asymptotes as Limits of Functions at Infinity
Lecture 2 – Oblique Asymptotes – Definition
Lecture 3 – Oblique Asymptotes for Rational Functions
Lecture 4 – “Famous” Asymptotes of Functions
Lecture 5 – Extrema of Functions
Lecture 6 – Fermat’s Theorem. A Necessary Condition for the Existence of an Extremum of a Function.
Lecture 7 – Sufficient Condition for the Existence of an Extremum
Lecture 8 – Calculating Extrema of Functions Using Higher-Order Derivatives
Lecture 2 – Oblique Asymptotes – Definition
Lecture 3 – Oblique Asymptotes for Rational Functions
Lecture 4 – “Famous” Asymptotes of Functions
Lecture 5 – Extrema of Functions
Lecture 6 – Fermat’s Theorem. A Necessary Condition for the Existence of an Extremum of a Function.
Lecture 7 – Sufficient Condition for the Existence of an Extremum
Lecture 8 – Calculating Extrema of Functions Using Higher-Order Derivatives
