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Matematika
RAJArozi
Pertanyaan
kak tolong kerjakan. gampang. tentang turunan. semua dikerjakannya
1 Jawaban
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1. Jawaban Anonyme
Calculus Derivative.
Answer for problem a
y = [f(x)]ⁿ → dy/dx = n f(x)]ⁿ⁻¹ f'(x)
dy/dx = cos² (x³)
= 2 cos (x³) [-sin (x³)] (3x²)
= -6x² sin (x³) cos (x³)
Because 2 sin (A) cos (A) = sin (2A):
dy/dx= -3 sin (2x³)
Answer for problem b
y = 1 / (3x - 2) = (3x - 2)⁻¹
dy/dx = -(3x - 2)⁻² (3)
= -3 / (3x - 2)²
Answer for problem c
y = (5x³ - x⁴)⁷
dy/dx = 7(5x³ - x⁴)⁶ (15x² - 4x³)
= 7 [x³(5 - x)]⁶ x²(15 - 4x)
= 7x¹⁸(5x - x)⁶ x²(15 - 4x)
= -7x²⁰ (x - 5)⁶ (4x - 15)