how do you find the implicit derivative of y=sqrt(xy+1)?

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Im pretty sure this might be simple but i tend to struggle with equations that include square roots so if anyone can help me thatd be lovely please.

In session 15 of this course I ran in to a wall with the problem. The problem given is: Use imlipicit differentiation to find the derivative of the inverse

(d^2y)/(dx^2) of sqrt(y) + xy = 1. I can get the 1st implicit derivative, but I lose it somewhere on the 2nd.

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using implicit differentiation, how do i calculate the derivative of sqrt(x+s) =

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