If x^2+1=y/(x-y'), where y'=dy/dx, find dy/dx
I have tried so many ways, but I cannot seem to get the correct answer.
The answers I have got previously are:
x² + 1 = y/(x - y')
(x² + 1)(x - y') = y
x(x² + 1) - y'(x² + 1) = y
x(x² + 1) - y = y'(x² + 1)...
g(x) = [ x^2 + 2 if x<=1 & x + 2 if x>1,
I am asked to find the left and right limits, and whether the g(x) is continuous or not.
The Attempt at a Solution
When I draw the two equations, I get a hyperbola and a line of gradient 1. They...