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Functii reale

...Oy x0 , fx o valoared EMBED Equation.3 daca e constanta yk asimptota orizontala 2Semnul functieia semnul functieib paritatea functiei fxf-x functia e simetrica fata de axa Oy fx-fx functia e simetrica fata de originec continuitatea functieid periodicitatea3Asimptoteorizontaleverticaleoblice4
Derivata intaicalculul derivatei intairadacinile derivatei intai si valorile funtiei pe radacinile derivateitabelul5Derivata a douacalculul derivatei a douaradacinile derivatei a doua si valorile functiei pe radacinile derivateideterminarea punctelor de inflexiune , de maxim si minim localsemnul derivatei a doua6Tabelul de variatie al functieiXFxFxFx7Trasarea graficului - in grafic se incepe cu trasarea asimptotelorExemplefx EMBED Equation.3 1afRR bfx0 EMBED Equation.3 cf00-00 d EMBED Equation.3 2ax EMBED Equation.3 0 EMBED Equation.3 EMBED Equation.3 0 EMBED Equation.3 0-------------------------------------------0fx0--
-----------------0-----------------------0bfxf-x functie para graficul este simetric fata de axa Ox3 Asimptote nu exista4 Derivata intaifx EMBED Equation.3 EMBED Equation.3 f00f2-16f-2-16x- -2 0 2 x-----------------------0 EMBED Equation.3 0----------------------0fx-----------00----------0
5 Derivata a douafx EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 X- EMBED Equation.3 -2 EMBED Equation.3 0 EMBED Equation.3 2 EMBED Equation.3 fx-------------00-----------0fx0-----------0fx----
--0----16 EMBED Equation.3 ----0 EMBED Equation.3 ---160 m i M i m fx EMBED Equation.3 1afRtI0SR bfx0 EMBED Equation.3 A4,0 B-4,0 cf0 nu exista d EMBED Equation.3 2ax- -4 0 4 EMBED Equation.3 -160------------------------0x--------------------
-----0fx-------------0-------------0x-,-40,4 fx0x-4,04, fx0bfxf-x functie para graficul este simetric fata de axa Oxcfunctia este continua pe RtI0S3 Asimptote yx asimptota oblica la EMBED Equation.3 x0 asimptota verticala la 4 Derivata intaifx EMBED Equation.3 5 Derivata a douafx EMBED Equation.3 X- 0 fxfx-------------------------fx- Alte grafice de functii 1fx EMBED Equation.3 EMBED ord.Picture.8 2fx EMBED Equation.3 3fx EMBED Equation.3 4fx EMBED Equation.3 RTāKLOPsatu.89MNaayqayhytUhPhhP6CJXhhPOJQJhhPOJQJh
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