Question

tentukan turunan fungsi f(x) =5-6x³​

Answer 1

Turunan Fungsi

[Derivatif]

..

[tex]y = ax {}^{n} \\ \frac{dy}{dx} = anx {}^{n - 1} [/tex]

..

Penyelesaian Soal

[tex]f(x) \: = 5 - 6x {}^{3} [/tex]

..[tex]f'(x) = \frac{dy}{dx} (5 - 6x {}^{3} )[/tex]

[tex]~~~~~~~~~~= \frac{dy}{dx} (5) + \frac{dy}{dx} ( - 6x {}^{3} )[/tex]

[tex]~~~~~~~~~~=0 + ( - 6 \times 3x {}^{3 - 1} )[/tex]

[tex]~~~~~~~~~~= - 6 \times 3x {}^{2} [/tex]

[tex]~~~~~~~~~~= - 18x {}^{2} [/tex]

..

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Answer 2

turunan fungsi

f(x) = 5 - 6x³

f'(x) = ..?

Evaluasi Turunan :

f'(x) = d/dx (5 - 6x³)

f'(x) = d/dx(5) - d/dx(6x³)

f'(x) = d/dx(5) - 6 × d/dx(x³)

f'(x) = d/dx(5) - 6 × 3x²

f'(x) = -6 × 3x³

f'(x) = -(6 × 3)x³

f'(x) = -18x³