Differentiation

Question

Differentiate with respect to x. ln ((√x² +1) -x) .

Thank you! :)

 

Ans: -1/(√x²+1)

Answer 1

[1/[sqrt(x^2+1)-x]]*[(1/2)*2x/sqrt(x^2+1)-1]

[1/[sqrt(x^2+1)-x]]*[x-sqrt(x^2+1]/sqrt(x^2+1)]

-1/sqrt(x^2+1)

that is the given answer