Studiare funzione

Skill — Studiare funzione.

Featured in chapters

22 · 23 · 25 · 27 · 40 · 42 · 43 · 45 · 47

Linked atoms

30 linked atoms.

22 Iperbole e funzione omografica

• Example — studying a homographic function
• Study of a homographic function

23 Funzioni, linguaggio e proprietà

• Domain of a root of a fraction
• Injectivity and inverse of x³+1
• (x²+1)
• Natural domain

25 Funzione esponenziale

• Properties of the exponential function

27 Metodi unificanti per equazioni e disequazioni

• Idea 4: sign analysis

40 Limiti di funzioni

• Asymptotes
• Asymptotes of a rational function

42 Derivate

• Fermat’s theorem
• Non-differentiability and the search for maxima and minima
• Parametric study of x over (x²+k)
• Study of (x²−1) over (x²+1)
• Study of ln(x²−4)
• Study of x·e to the −x
• The optimisation method

43 Studio di funzione

• Absolute maxima and minima - the table method
• Absolute maxima and minima on an interval
• Complete curve sketching - the six steps
• Complete study of sin x · e^{-cos x}
• Concavity and inflection point of a rational function
• Convexity, concavity and inflection points
• Curve sketching with a parameter
• Curve sketching with a parameter
• How to find inflection points
• The first derivative test

45 Teoremi del calcolo

• Consequences of Lagrange: increase and decrease

47 Distribuzioni di probabilità

• Entropy of a coin
• Study of the function -p log p