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Bab III TURUNAN FUNGSI

Bab III TURUNAN FUNGSI. IR. Tony hartono bagio , mt , mm. III. TURUNAN FUNGSI. 3.1 Pengertian Turunan Fungsi 3.2 Turunan Fungsi Konstan dan Fungsi Pangkat 3.3 Sifat-sifat Turunan 3.4 Aturan Rantai 3.5 Turunan Fungsi Invers 3.6 Turunan Fungsi Implisit 3.7 Turunan Tingkat Tinggi

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Bab III TURUNAN FUNGSI

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  1. Bab IIITURUNAN FUNGSI IR. Tony hartonobagio, mt, mm Prepared by : Tony Hartono Bagio

  2. III. TURUNAN FUNGSI 3.1 PengertianTurunanFungsi 3.2 TurunanFungsiKonstandanFungsiPangkat 3.3 Sifat-sifatTurunan 3.4 Aturan Rantai 3.5 TurunanFungsiInvers 3.6 TurunanFungsiImplisit 3.7 Turunan Tingkat Tinggi 3.8 TurunanFungsiAljabardanTransenden 3.9 TurunanFungsi Parameter Prepared by : Tony Hartono Bagio

  3. 3.1 PengertianTurunanFungsi Prepared by : Tony Hartono Bagio

  4. 3.1 PengertianTurunanFungsi Prepared by : Tony Hartono Bagio

  5. 3.1 PengertianTurunanFungsi Prepared by : Tony Hartono Bagio

  6. 3.2 TurunanFungsiKonstandanFungsiPangkat Prepared by : Tony Hartono Bagio

  7. 3.2 TurunanFungsiKonstandanFungsiPangkat Prepared by : Tony Hartono Bagio

  8. 3.3 Sifat-sifatTurunan Prepared by : Tony Hartono Bagio Jikaksuatukonstanta, f dan g fungsi-fungsi yang terdiferensialkan, udanvfungsifungsidalamxsehinggau =f(x)danv =g(x)makaberlaku: 1. Jikay = kumaka y’ = k(u’ ) 2. Jikay = u+vmaka y’ = u’ + v’ 3. Jikay = u–v maka y’ = u’ – v’ 4. Jikay = u v maka y’ = u’ v + u v’ 5. Jikamaka

  9. 3.3 Sifat-sifatTurunan Prepared by : Tony Hartono Bagio

  10. 3.3 Sifat-sifatTurunan Prepared by : Tony Hartono Bagio

  11. 3.4 Aturan Rantai Prepared by : Tony Hartono Bagio Untukmenentukanturunan y = (3x4 + 7x – 8)9 dengancaramengalikanbersamakesembilanfaktor (3x4 + 7x – 8) kemudianmencariturunanpolinomberderajat 36 tentulahsangatmelelahkan. Cara yang mudahuntukmenentukanturunan y = (3x4 + 7x – 8)9 adalah dengan menggunakan aturan rantai.

  12. 3.4 Aturan Rantai Prepared by : Tony Hartono Bagio Fungsíkomposisidapatdiperluasmenjadikomposisi 3 fungsi, 4 fungsidanseterusnya. Jikay = f(u) u = g(v) v = h(x) yakni y = (f o g o h)(x) maka

  13. 3.4 Aturan Rantai Prepared by : Tony Hartono Bagio

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