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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. 3.5 TurunanFungsiInvers Prepared by : Tony Hartono Bagio

  4. 3.6 TurunanFungsiImplisit Prepared by : Tony Hartono Bagio Fungsíimplisitsecaraumumdapatditulissebagai f(x, y) = 0 dengan y sebagaifungsídalam x. Contohfungsiimplisit: • 1) y – 2x3 – 8 = 0 • 2) 2x3y – 7y – x2 + 1 = 0

  5. 3.6 TurunanFungsiImplisit Prepared by : Tony Hartono Bagio Tentukandarifungsí : y – 2x3 – 8 = 0 Penyelesaian: Tentukandarifungsí : 2x3y – 7y – x2 + 1 = 0 Penyelesaian:

  6. 3.7 Turunan Tingkat Tinggi Prepared by : Tony Hartono Bagio Jikafungsiditurunkanmakaturunannya, yaituf ’ jugaberupafungsi, dandimungkinkanf ’ jugamempunyaiturunantersendiri yang dinyatakanoleh(f ’)’ = f ’’. Fungsi yang f ’’ baruinidisebutturunankeduadarifkarenadiamerupakanturunandariturunan f . Dengannotasi Leibniz kitatuliskanturunankeduadari y = f(x) sebagai

  7. 3.7 Turunan Tingkat Tinggi Prepared by : Tony Hartono Bagio Contoh 7 Jikaf(x) = 3x4 + 7x – 8, tentukan f ’’(x).

  8. 3.7 Turunan Tingkat Tinggi Prepared by : Tony Hartono Bagio Contoh 8 Jikaf(x) = (3x5 + 2x)(4x + 7), tentukan f ’’(x).

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