Practical session 6

24 Março 2022, 14:30 • Alexandra Symeonides

Lagrange theorem: ex. 6 (a) and ex. 7.
Cauchy Rule: ex. 8 (d)(h)(k)

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Lecture 10

22 Março 2022, 10:00 • Alexandra Symeonides

Taylor formula with Peano and Lagrange form of the remainder.  Exercise 10. Application to the classification of critical points (local extrema and saddle points).

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Lecture 9

21 Março 2022, 10:00 • Alexandra Symeonides

Lagrange theorems. Relation between monotony and sign of the derivative function. Cauchy rule. Application to limit calculus. Higher order derivatives. Taylor polynomial: definition and explicit form.

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Practical session 5

17 Março 2022, 14:30 • Alexandra Symeonides

Derivative of the inverse function: ex. 1, 2. (c), 3, 4.
Rolle theorem: ex. 5.

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Lecture 8

15 Março 2022, 10:00 • Alexandra Symeonides

Derivative of the inverse function and application to the calculus of inverse trigonometric functions. Local extrema. Fermat and Rolle theorems. Relation between monotony and sign of the derivative function.

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