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Pertanyaan

Grafik fungsi f ( x ) = a x 3 + b x 2 − c x + 20 turun, jika.....

Grafik fungsi  turun, jika.....

  1. b squared minus 4 a c less than 0 space d a n space a less than 0

  2. b squared plus 4 a c less than 0 space d a n space a less than 0

  3. b squared plus 3 a c less than 0 space d a n space a greater than 0

  4. b squared plus space 3 a c less than 0 space d a n space a less than 0

  5. b squared minus 3 a c less than 0 space d a n space a less than 0

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

fungsi f(x) akan turun jika

fungsi f(x) akan turun jika b squared plus space 3 a c less than 0 space d a n space a less than 0

Pembahasan

Suatu fungsi f(x) akan turun ketika Agar f'(x) selalu bernilai negatif (definit fungsi negatif) maka syarat yang harus dipenuhi adalah A < 0 dan D < 0. Jadi, fungsi f(x) akan turun jika

Suatu fungsi f(x) akan turun ketika

f apostrophe left parenthesis x right parenthesis less than 0 3 a x squared plus 2 b x minus c less than 0

Agar f'(x) selalu bernilai negatif (definit fungsi negatif) maka syarat yang harus dipenuhi adalah A < 0 dan D < 0.

left parenthesis A equals 3 a comma space B equals 2 b comma space C equals – c right parenthesis A less than 0 3 a less than 0 a less than 0  D less than 0 B squared minus 4 A C less than 0 left parenthesis 2 b right parenthesis squared minus 4 left parenthesis 3 a right parenthesis left parenthesis negative c right parenthesis less than 0 4 b squared plus 12 a c less than 0 b squared plus 3 a c less than 0

Jadi, fungsi f(x) akan turun jika b squared plus space 3 a c less than 0 space d a n space a less than 0

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