Question

НАЙДИТЕ ПРОИЗВОДНУЮ ФУНКЦИИ(7 и 8 примеры)

Answer 1

$7)f(x)=\frac{Sin5x}{1+3x}\\\\f'(x)=\frac{(Sin5x)'*(1+3x)-Sin5x*(1+3x)'}{(1+3x)^{2}}=\frac{5Cos5x(1+3x)-3Sin5x}{(1+3x)^{2}}\\\\8)f(x)=\frac{2-5x}{Cos10x}[\tex][tex]f'(x)=\frac{(2-5x)'*Cos10x-(2-5x)*(Cos10x)'}{Cos^{2}10x }=\frac{-5Cos10x-(2-5x)*(-10Sin10x)}{Cos^{2}10x }=\frac{10Sin10x(2-5x)-5Cos10x}{Cos^{2}10x }$