Matematika

Pertanyaan

diketahui f(x) = (2x²+3x - 1)³ dan f'(x) turunan pertama f(x) . nilai f'(-2)

1 Jawaban

  • Misal U = 2x² +3x - 1
    dy/du = 3U²
    du/dx = 4x + 3

    dy/dx = dy/du
    .du/dx
    dy/dx = 3 U² .4x +3
    = 3( 2x² +3x -1) ( 4x + 3)
    f(-2) = 3( 8 +6-1) ( -8 +3)
    = 3(13) (-5)
    = -195

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