Tentukan turunan pertama dari fngsi berkut!
f(x)=(7x+1)(3x+2)/x²
Tolong pakai cara.![]()
f(x)=(7x+1)(3x+2)/x²
Tolong pakai cara.
Jawab:
turunan
[tex]\sf f(x) = \dfrac{(7x+1)(3x+2)}{x^2}[/tex]
[tex]\sf f(x) = \dfrac{21x^2 + 17x + 2}{x^2}[/tex]
[tex]\sf f(x) = ({21x^2 + 17x + 2)({x^{-2})[/tex]
[tex]\sf f(x) = 21 + 17x^{-1} + 2x^{-2}[/tex]
f'(x) = 0 - 17 x⁻² - 4 x⁻³
[tex]\sf f'(x) = -\dfrac{17}{x^2} - \dfrac{4}{x^3} = - \dfrac{17x + 4}{x^3}[/tex]
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