Question

Помогите ,даю 30 баллов

Answer 1

$f(x)=7\, log_3(3x+6)+2\, log_7(7x+5)\\\\\\\star \ \ log_{a}u=\dfrac{1}{u\cdot lna}\cdot u'\ \ \star \\\\\\f'(x)=7\cdot \dfrac{1}{(3x+6)\cdot ln3}\cdot (3x+6)'+2\cdot \dfrac{1}{(7x+5)\cdot ln5}\cdot (7x+5)'\\\\\\f'(x)=\dfrac{7}{(3x+6)\cdot ln3}\cdot 3+\dfrac{2}{(7x+5)\cdot ln5}\cdot 7\\\\\\f'(x)=\dfrac{21}{(3x+6)\cdot ln3}+\dfrac{14}{(7x+5)\cdot ln5}$