Question

f(x)=x-1/корень x^2+1
найти производную $frac{x-1} sqrt{ x^{2}+1$

Answer 1

f(x)=(x-1)`(√x^2+1)-(√x^2+1)`)`(x-1)=√x^2+1-1/(2√x^2+1)(x-1)=√x^2+1-(x-1)/2√x^2+1