Matematika

Pertanyaan

Di berikan
a. y= (4x² - 3 ) (2-x)
b. y= cos² 5x

Maka dy/dx ?

1 Jawaban

  • a) y = (4x² - 3) (2 - x)
    y = 8x² - 4x³ - 6 + 3x
    y = -4x³ + 8x² + 3x - 6
    y' = -12x² + 16x + 3
    Dy/dx = -12x² + 16x + 3
    cara 2
    u = 4x² - 3 ; u' = 8x
    v = 2 - x ; v' = -1

    Dy/dx = u. v' + u'.v
    Dy/dx = (4x² - 3) (-1) + 8x (2 - x)
    Dy/ dx = -4x² + 3 + 16x - 8x²
    Dy/dx = - 12x² + 16x + 3

    b) y = cos² 5x
    Dy/dx = 2 cos 5x . -sin 5x . 5
    Dy/dx = -10 cos 5x. Sin 5x

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