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TURUNAN

TURUNAN. Turunan fungsi f (x) , dinotasikan dengan f’(x) didefinisikan sebagai laju perubahan f terhadap x saat h mendekati 0:. f( x+h ). f(x). h. x. X+h. Secara umum dapat dirumuskan jika :. Untuk :. Jika u dan v adalah suatu fungsi maka berlaku :. Garis Singgung kurva.

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TURUNAN

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  1. TURUNAN

  2. Turunanfungsif (x), dinotasikandenganf’(x)didefinisikansebagailajuperubahan f terhadap x saat h mendekati 0: f(x+h) f(x) h x X+h

  3. Secaraumumdapatdirumuskanjika : Untuk :

  4. Jika u dan v adalahsuatufungsimakaberlaku :

  5. GarisSinggungkurva GarisSinggung Kemiringan tali busur PQ adalah : Q f(x+h) f(x+h-f(x) P f(x) h x X+h Jika x+h x , maka tali busur PQ akan berubah menjadi garis singgung di ttk P dgn kemiringan

  6. Hubungangarissinggungkurvadengangaris lain Q Q f(x+h) f(x+h) sejajar Tegaklurus P P f(x) f(x) h h x x X+h X+h m1=-1/m2 m1=m2

  7. Fungsinaik, turundanstasioner Fungsinaik ( f’(x)>0 ) Fungsiturun ( f’(x)<0) Fungsi Fungsi stationer (f’(x)=0)

  8. MenentukanNilai Max/Min Fmax (f’’(x1)<0) x1 titik max Fungsi max/min Fungsi stationer (f’(x)=0) Fmin (f’’(x1)>0) x1 titik min (f’’(x1)=0) x1 titikbelok

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