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Grafice ale functiilor si Rolul derivatelor

Grafice ale functiilor si Rolul derivatelor. Tiselice Dragos. Rolul derivatei intai in studiu functiilor. Consecinta Teoremei lui lagrange. Exemplu monotonie. Rolul derivatei a doua in studiu functiilor. Punctele de inflexiune ale unei functii.

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Grafice ale functiilor si Rolul derivatelor

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  1. Grafice ale functiilorsiRolulderivatelor TiseliceDragos

  2. Rolulderivateiintai in studiufunctiilor

  3. ConsecintaTeoremeiluilagrange

  4. Exemplumonotonie

  5. Rolulderivatei a doua in studiufunctiilor

  6. Punctele de inflexiune ale uneifunctii

  7. Reprezentareagrafica a functiilor • I Domeniul de definitie (determinare, interesectii cu axele, calcularea la capete si asimptote) • II Derivata intai (rezolvarea ecuatiei f’(x)=0, intervale de monotonie) • IIDerivata a doua (rezolvarea ecuatiei f’’(x), intervale cu semn constant) • IV Tabelul de variatie (valori remarcabile, f’(x), f’’(x), f(x)) • V Trasarea graficului

  8. Exemplu

  9. grafic

  10. Bibliografie • Matematica – Manual pentru clasa a XI-a Editura Sigma 2003 • Matematica clasa a XI-a “Elemente de analiza matematica” Editura Carminis • Manual pentru clasa a XI-a “Elemente de analiza matematica” Editura Mathpress 2003 • Exercitii si probleme de clasa a XI-a (si nu numai) Editura Birchi • Gazeta Matematica Editie Electronica 1895-2004 Intuitext • Revista de Matematica din Timisoara Editie Electronica 1921-2006 Intuitext • http://rechneronline.de/function-graphs/

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