Question

Tentukan turunan dari fungsi aljabar berikut​

Answer 1

Jawaban:

Turunan ( Derivatif )

Penjelasan dengan langkah-langkah:

1. y = 4x³-9x²-12x+1

y´(x)= 3.4x³⁻¹-2.9x²⁻¹-12x¹⁻¹

= 12x²-18x¹-12x⁰

= 12x²-18x-12

2. y = 2x³-5/2x²-6x+5

y´ = 3.2x³⁻¹-2.5/2x²⁻¹-6x¹⁻¹

= 6x²-5x¹-6x⁰

= 6x²-5x-6

3. y = (5x-3)³

y´ = 3.5x¹⁻¹(5x-3)³⁻¹

= 15x⁰(5x-3)²

= 15(5x-3)²

= (5x-2)².15

4. y = (5x²-4)⁴

y´ = 4.2.5x²⁻¹(5x²-4)⁴⁻¹

= 8.5x¹(5x²-4)³

= 40x(5x²-4)³

= (5x²-4)³.40x

Demikian