Turunan pertama dari fungsi [tex]\sf f(x) = (4x² - 12x)(x + 2)[/tex] adalah ....... Question from @GwenBe01

July 2022 2 11 Report

Turunan pertama dari fungsi [tex]\sf f(x) = (4x² - 12x)(x + 2)[/tex] adalah ...

Kornelius82

Jawaban:

[Turunan]

Penjelasan dengan langkah-langkah:

f(x)=(4x²-12x)(x+2)

=(4x³-12x²+8x²-24x)

=(4x³-20x²-24x)

f´(x)=3.4x⁽³⁻¹⁾-2.20x⁽²⁻¹⁾-24

=12x²-40x¹-24

=12x²-40x-24 [✓]

Detail Jawaban:

Mapel : Matematika

Kelas : 11 / [XI] SMA

Materi: Turunan

Kode Kategorisasi : -

Kata Kunci: Turunan

Demikian

Semoga bermanfaat dan bermanfaat!

2 votes Thanks 1

Kornelius82 Done[✓]

XxDarknessxX

$\sf f(x) = (4x² - 12x)(x + 2)$

$f(x) = {4x}^{2} (x + 2) - 12x(x + 2)$

$f(x) = {4x}^{3} + {8x}^{2} - {12x}^{2} - 24x$

$f'(x) = 3(4) {x}^{3 - 1} - {4x}^{2} - 24 {x}^{1 - 1}$

$f'(x) = 12 {x}^{2} - 2(4)x^{2 - 1} - 24 {x}^{0}$

$f'(x) = 12 {x}^{2} - 8x - 24(1)$

$f'(x) = {12x}^{2} - 8x - 24$

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