Apabila ruas kiri dan ruas kanan persamaan terakhir diatas dibagi dengan x, maka diperoleh: yx (f(xx)- f(x))x Bentuk dari yx inilah yang disebut dengan hasil bagi perbedaan (kuosien) diferensi, mencerminkan tingkat perubahan rata-rata variabel terikat y terhadap variabel bebas x.Hasil proses diferensiasi yang diperoleh dinamakan turunanderivatif.Jika yf(x) maka kuosien diferensinya yx (f(x x)- f(x))x dan turunan fungsinya lim(x0)yx lim(x0) (f(x x)- f(x))x KAIDAH KAIDAH DIFERENSIASI Secara umum, dalam membentuk turunan sebuah fungsi dapat dilakukan dengan cara menemukan kuosien diferensinya terlebih dulu, kemudian menentukan limit kuosien diferensi tersebut untuk pertambahan variabel bebas mendekati nol.Langkah langkahnya: Misal fungsi aslinya y f(x) Masukkan tambahan x dan tambahan y untuk memperoleh y y f(x x) Manipulasikan untuk memperoleh y f(x x) f(x) Bagi kedua ruas dengan x sehingga diperoleh kuosien diferensinya yx (f(x x)- f(x) )x Tentukan limitnya untuk x 0, sehingga diperoleh turunan fungsinya dydx lim(x0)yxlim(x0) (f (xx)- f(x) )x.
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