Question

Find the derivative of the function y defined implicitly in terms of x?? y= radical(xy+1)

Answer 1

derive the radical like normal and out pops a derivative of xy

Answer 2

but i need to find what dy/dx equals?

Answer 3

the rest is just algebra

Answer 4

what does x'y+xy' come out to?

Answer 5

\[Y'=\frac{y+xY'}{2\sqrt{xy+1}}\]

Answer 6

y' is just y' and x' = 1 since dx/dx = 1