Tentukan f'(x) dari : A. F(x) = (5x+1)³ B. F(x) = (2x-1) (3x-2) C. F(x) = 4x-3/2x+1.... Question from @umimenak

October 2018 2 23 Report

Tentukan f'(x) dari :
A. F(x) = (5x+1)³
B. F(x) = (2x-1) (3x-2)
C. F(x) = 4x-3/2x+1

Takamori37 A.)
Dengan dalil rantai.
$$\begin{align}f'(x)&=3(5x+1)^{3-1}.(5x+1)' \\ &=3(5x+1)^2.5\\&=15(5x+1)^2\end{align}$

B.)
Jabarkan, lalu turunkan langsung.
$f(x)=6x^2-7x+2 \\ f'(x)=12x-7$

c.)
Dengan:
u = 4x - 3, u' = 4
v = 2x + 1, v' = 2
Sehingga,
$$\begin{align}f'(x)&=\frac{u'v-uv'}{v^2}\\&=\frac{4(2x+1)-2(4x-3)}{(2x+1)^2}\\&=\frac{8x+4-8x+6}{(2x+1)^2}\\&=\frac{10}{(2x+1)^2}\end{align}$

1 votes Thanks 1

sarahizza A. f'(x) = 3(5x+1) pangkat 2 5 = 15 (5x+1)pangkat 2. B. f'(x) = u'v + v'u = 2(3x-2) + (3(2x-1)) = 6x-4 + (6x-3) = 12x - 7. C. u'v - v'u / v(kuadrat) = 4(2x+1) - (2(4x-3)) / (2x+1)kuadrat = 8x+4 -(8x-6) / 4xpangkat2 + 4x + 1 = 10 / 4xpangkat2 + 4x + 1.

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Tentukan f'(x) dari : A. F(x) = (5x+1)³ B. F(x) = (2x-1) (3x-2) C. F(x) = 4x-3/2x+1

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