f(x) = (5x^2-8x)^3 dan f’(x) turunan pertama f(x). Nilai f’(2) =
Matematika
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Pertanyaan
f(x) = (5x^2-8x)^3 dan f’(x) turunan pertama f(x). Nilai f’(2) =
2 Jawaban
-
1. Jawaban yourvin
- Turunan Fungsi -
f(x) = (5x²-8x)³
f'(x) = 3. (5x²-8x)² . 10x-8
f'(x) = 30x -24 (5x²-8x)²
f'(2) = 30(2) -24 (5(2)²-8(2))²
f'(2) = 60 -24 (20-16)²
f'(2) = 36 (4)²
f'(2) = 576
semoga membantu
-vin -
2. Jawaban clonofo
[tex]f(x) = ({5 {x}^{2} - 8x })^{3} [/tex]
maka
[tex]f'(x) = 3 ({5 {x}^{2} - 8x })^{2} (10x - 8)[/tex]
dan
[tex]f'(2) = 3 ({5 \times {2}^{2} - 8 \times 2 })^{2} (10 \times 2- 8)[/tex]
= 3×(16)×(12)
= 576 ✔️
semoga jelas dan bermanfaat