Question

Пример б плиз производная

Answer 1

$1)\; \; f(x)=\frac{x^2+5}{x-2}\\\\f'(x)=\frac{2x(x-2)-(x^2+5)}{(x-2)^2}=\frac{x^2-4x-5}{(x-2)^2}=\frac{(x-5)(x+1)}{(x-2)^2}\\\\2)\; \; f(x)=-\frac{1}{x}-9x+\sqrt2\\\\f'(x)=\frac{1}{x^2}-9$