Question

4. найдите производную функции

Answer 1

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