Matematika

Pertanyaan

tentukan y' dari: 1. y= 1/x^-4 2. y= 5√x + 4 3. y= 3/√x 4. y= (4x + 2) . ^3√x

1 Jawaban

  • turunan

    1) y = 1/(x⁻⁴)
    y = x⁴
    y' = 4 x³

    2) y = 5√x + 4
    y = 5 x¹/²  + 4
    y' = ⁵/₂ x⁻¹/²
    y' = 5/(2√x)
    y' = 5√x / (2x)

    3) y = 3/√x
    y = 3. x⁻¹/²
    y' = - 3/2 x⁻³/²
    y' = -3/(2x√x)

    4) y = (4x+2).∛x
    y = (4x + 2)(x)¹/³
    y = 4x⁴/³ +  2x¹/³
    y' = 16/3 x¹/³  + 2/3 x⁻²/³
    y' = 16/3  ∛x  + 2 /(3∛x²)
    y' = 16/3  ∛x + (2∛x) /(3x)
    y' = (16/3 + 2/3x) ∛x
    y' = 1/3 (16 + 2x) ∛x

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