Предмет: Математика, автор: FoBoS55

найти производную функции: f(x)=2lg*(x+1)

Ответы

Автор ответа: AlbuRin

f(x)=2lg(x+1)

f " (x) = (2lg(x+1)) " = 2/((x+1)ln10)

Автор ответа: PhysM

$f(x)=2lg(x+1)$

Так как $lgx=frac{lnx}{ln10}$

Получаем:

$f(x)=2frac{ln(x+1)}{ln10}$

$f'(x)=frac{2}{ln10}cdot frac{1}{x+1}=frac{2}{(x+1)ln10}$

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