Find the equations of all lines having slope 0 which are tangent to the curve
It is given that equation of the curve y = ,
Now, slope of the tangent to the given curve at a point (x,y) is:
Now, if the slope of the tangent is 0, then we get,
⇒ -2(x-1)=0
⇒ x =1
So, when x = 1 then y =
Now, the equation of the tangent (0,) is given by:
y – = 0(x-1)
⇒ y - = 0
⇒ y =
Therefore, the equations of the required line is y = .