Matematika

Pertanyaan

Tolong jawab 1 - 15 pake cara plissss
Tolong jawab 1 - 15 pake cara plissss

1 Jawaban

  • ^ = pangkat
    / = dibagi atau per

    1) f(x) = (3x + 2)^4
    = 4 ( (3x + 2)^4 - 1 ) × 3
    = 12 (3x + 2)³

    2) f(x) = (5 - 2x) ^5
    = 5 ( (5 - 2x) ^5 - 1) × -2
    = -10 (5 - 2x)^4

    3) (4x - 6)^ ½
    = ½ ( (4x - 6)^ ½ - 1) × 4
    = 2 (4x - 6)^-½
    = 2 / √(4x - 6)

    4) 3(2x² + 5)^ 6
    = 3 × 6 ( (2x² + 5)^ 6 - 1) × 4x
    = 72x (2x² + 5)^ 5

    5) 4(3 - x³)³
    = 4 × 3 ( (3 - x³) ³ - ¹) × -3x²
    = -36x² (3 - x³) ²

    6) (6x² - 5x + 4)^7
    = 7 ( (6x² - 5x + 4)^ 6 ) × 12x × -5
    = -420x (6x² - 5x + 4)^ 6

    7) √(2x^4 + 5)
    = (2x^4 + 5) ^½
    = ½ ( (2x^4 + 5)^- ½) 8x³
    = 4x³ (2x^4 + 5)^ -½)
    = 4x³ / √(2x^4 + 5)

    8) sin (5x - π)
    = cos (5x - π) × 5
    = 5 cos (5x - π)

    9) 3 cos (2x + π)
    = 3 (- sin (2x + π) ) × 2
    = -6 sin (2x + π)

    10) 2 cos (2π - 3x)
    = 2 (-sin (2π - 3x) ) -3
    = 6 sin (2π - 3x)

    11) 4 sin (π - 5x²)
    = 4 (cos (π - 5x²) ) × -10x
    = -40x cos (π - 5x²)

    12) sin ^4 2x
    = 4 (sin^3 2x) ( cos 2x) × 2
    = 8 sin^3 2x cos 2x

    13) cos ^5 3x
    = 5 (cos ^4 3x) (-sin 3x) 3
    = -15 cos^4 3x sin 3x

    14) 5 sin ^7 (2x - π)
    = 5 × 7 sin^ 6 (2x - π) cos (2x - π) × 2
    = 70 sin^6 (2x - π) cos (2x - π)

    15) 6 cos³ (π - 2x)
    = 6 × 3 cos² (π - 2x) (- sin (π - 2x)) × -2
    = 36 cos² (π - 2x) sin (π - 2x)