Hitunglah turunan fungsi berikut. F(x) = 3x^2 + 2x + 1/5x + 2
Matematika
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Pertanyaan
Hitunglah turunan fungsi berikut. F(x) = 3x^2 + 2x + 1/5x + 2
2 Jawaban
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1. Jawaban Rikuva
[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] -
2. Jawaban Anonyme
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