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Pertanyaan

Persamaan garis singgung pada kurva f ( x ) = x 3 + 6 x 2 + 8 x + 1 di titik (-4,2) adalah ….

Persamaan garis singgung pada kurva  di titik (-4,2) adalah ….

  1. y = 8x + 34

  2. y = 8x - 34

  3. y = 6x + 34

  4. y = -8x + 34

  5. y = -8x - 34

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

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Pembahasan

Titik singgung Gradien

Titik singgung open parentheses x subscript 1 comma y subscript 1 close parentheses equals open parentheses negative 4 comma 2 close parentheses

Gradienequals m equals f apostrophe open parentheses x subscript 1 close parentheses

f open parentheses x close parentheses equals x cubed plus 6 x squared plus 8 x plus 1 space rightwards double arrow space f apostrophe open parentheses x close parentheses equals 3 x squared plus 12 x plus 8 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space m equals f apostrophe left parenthesis negative 4 right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space m equals 3 open parentheses negative 4 close parentheses squared plus 12 open parentheses negative 4 close parentheses plus 8 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 48 minus 48 plus 8 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 8 P e r s a m a a n space g a r i s space equals space y minus y subscript 1 equals m open parentheses x minus x subscript 1 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space y minus 2 space equals 8 open parentheses x minus open parentheses negative 4 close parentheses close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space y minus 2 space equals 8 x plus 32 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space y space equals 8 x plus 34

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Persamaan garis singgung pada kurva y = 3 x 2 − 7 yang sejajar garis y = 12 x − 8 adalah ….

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