Matematika

Pertanyaan

Diketahui fungsi f(x)=x^3-9x^2+15x+10. Tentukan titik stasioner dan jenisnya

1 Jawaban

  • turunan = 0
    3x² - 18x + 15 = 0
    ------------------------- ÷3
    x² - 6x + 5 = 0
    (x - 5)(x - 1) = 0
    + + + _ _ _ + + +
    -------•-------•--------
    `````````1 ````````5
    x = 1
    y = (1)³ - 9(1)² + 15(1) + 10
    = 1 - 9 + 15 + 10
    = 17
    (1,17) titik maksimum
    x = 5
    y = (5)³ - 9(5)² + 15(5) + 10
    = 125 - 225 + 75 + 10
    = - 15
    (5,-15)titik minimum

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