Question

найти производнуюf(x)=(x^2+1)/x

Answer 1

$y'(x)= \frac{( x^{2} +1)'x-( x^{2} +1)*x'}{ x^{2} }= \frac{2 x^{2} - x^{2} -1}{ x^{2} } = \frac{ x^{2} -1}{ x^{2} }$

Answer 2

$\mathtt{f(x)=x+\frac{1}{x};~f'(x)=(x+\frac{1}{x})'=(x)'+(\frac{1}{x})'=1-\frac{1}{x^2}=\frac{x^2-1}{x^2}}$