Matematika

Pertanyaan

Hitunglah turunan fungsi berikut. F(x) = 3x^2 + 2x + 1/5x + 2

2 Jawaban

  • [tex] 3x^{2} + 2x + \frac{1}{5}x + 2 [/tex]

    = [tex]\frac{d}{dx} (3x^{2} + 2x + \frac{1}{5}x + 2) [/tex]

    = [tex] \frac{d}{dx} (3x^{2} +\frac{11}{5}x + 2)[/tex]

    = [tex]2.3x^{2-1} + 1. \frac{11}{5} x^{1-1}[/tex]

    = [tex]6x + \frac{11}{5} [/tex]
  • f(x) = ax^n
    f'(x) = anxⁿ⁻¹

    f(x) = 3x² + 2x + 5x⁻¹ + 2
    f'(x) = 6x + 2 - 5x⁻² + 0 = 6x + 2 - 5 / x²

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