funksiyaning hosilasi.

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prezentatsiya powerpoint mavzu:funksiyaning hosilasi. funksiyaning uzluksizligi va differensiallanuvchiligi orasidagi bog’liqli. hosilaning geometrik,mexanik ma’nosi image1.png image2.png image3.png image4.png image5.png image6.png image7.png image8.png image9.png image10.png image11.png image12.png image13.png image14.png image15.png image16.png image17.png image18.png image19.png image20.png image21.png image22.png image23.png image24.png image33.png image25.png image26.png image27.png image28.png image29.png image30.png image31.png image32.png image34.png image35.png image36.png image37.png image38.png image39.png image40.png image41.png image42.png image43.png image44.png image45.png image46.png image47.png image48.png image49.png image50.png image51.png image52.png image53.png image54.png image55.png image56.png image57.png image58.png image59.png image60.png image61.png image62.png ff (%)= tim al = tim aad ax axs0 ax 1. funksiya hosilasining ta’rifi. faraz qilaylik, f(x) funksiya (a,b)cr da berilgan bo'lib, xy €(a,b) + xy + ave(a,b) bo lsin.ma lumki ushbu m (%0)= f(%0 + at) f(%0) ayirma f(x) funksiyaning x) nugtadagi orttirmasi deyiladi. 1-ta’rif. ([2], p. 168, def, 6.1) agar ushbu fim l080+0)~ f(x) ae limit mayjud va chekli bo'lsa, u funksiyaning x, nugtadagi hosilasi deylladi va 0) voki f"(x), yoki (j (x)y,, …

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€(a,b) nugtada f'(x,) hosilaga ega bo'lsin. bu f(x) funksiyaning grafigi chizmada tasvirlangan i” egri chizigni ifodalasin: » bu t° chizigda mg(x.¥9). m(x.y) mugtalarni olib, ular orgali o‘tuvehi | kesuvchini garaymiz. mo(xos(%o))el, m(xf(x))el, m—>my da i kesuvchi limit holati t° chizigga my mugtada o'thazilgan urinma deyiladi. ravshanki, @ burchak ax ga bog'lig: g=qax). _funksiyaning grafigiga my nugtada o‘thazilgan urinmaning mayjud bo 'ishi uchun lim @(ax)=a ning mavjud bo'lishi lozim. bunda a-urinmaning ox o'gining musbat ‘yo'nalishi bilan tashkil etgan burchak. mymp uchburchakdan: eon me £05,+80)-s0s) f"(a) = tg a. demak, funksivaning x, nugtadagi f"(x,) hosilasi urinmaning burchak oefftsentin ifodalaydi. bunda urinmaning tenglamasi y= fc0)+ fcoe) ko'rinishda bo'ladi. aytaylik, p nugta to'g'ri chiziq bo'ylab s=.s(f) qonun bilan harakat ailsin, bunda ¢—vagt, s—o'tilgan yo'l. agar vagining t, va t, (h <t,) iymatlaridagi o'tilgan yo'l s(¢,), s(¢) bo'lsa, unda ushbu nisbat sts)~st) ht [4,45] vagt oralihidagi o‘rtacha tezlikniifodalaydi. quyidagi fim )=54) b-h limit harakatdagi nugtaning …

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ax athete -sin —2sin(x + 42) - sin 2 2 sin(o+ 4).sin a sin 42 ae = —sin (x + 42) - 2 = —sing. nae z az z “na 1 (cosz)’ = —sinz cd =0 (2*)' =a-a*! (ae€r) (sin z)' = cosz (cosz)’ = —sinz (ef ses ay =y(x + az) —y (x) = ef (x + az) — ef (x) = e(f (e+ az) — f(z) =caf aro xea ff av _ cf _, ar” az (f+y)=fity' g=fry ag= g(x + ax) —g(2) = (f(e@+ az) +y(@+ az) — (f(x) +y(@)) = near g(z+az) g(x) = f(w@+az) +y(x+ az) — f(x) —y(x) = af+ay 1, ag _ af+ay _ af. ay _ i~ ke ag az " az fity. (fy =f-ytfey' g(x) = f(z)-y(z) ag =9(x+ az) — g(x) = f (a+ az)-y(x+ az) — f(x)-y(z). eee = f(v+az)=f(x)+af y=y(x+ ax)—y(x) = y(e+ az) =y(x) + ay f+af …

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prezentatsiya powerpoint mavzu:funksiyaning hosilasi. funksiyaning uzluksizligi va differensiallanuvchiligi orasidagi bog’liqli. hosilaning geometrik,mexanik ma’nosi image1.png image2.png image3.png image4.png image5.png image6.png image7.png image8.png image9.png image10.png image11.png image12.png image13.png image14.png image15.png image16.png image17.png image18.png image19.png image20.png image21.png image22.png image23.png image24.png image33.png image25.png image26.png image27.png image28.png image29.png image30.png image31.png image32.png image34.png image35.png image36.png image37.png image38.png image39.png image40.png image41.png image42.png image43.png image44.png image45.png image46.png image47.png image48.png image49.png image50.png image51.png image52.png image53.png image54...

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