How do you use implicit differentiation to find the points on the curve #x^2+y^2=5x+4y# where tangent line is horizontal and where tangent line is vertical?
Horizontal tagts. at
Eqn. of the Curve C is given to be,
We know that,
Curve at the pt.
Now, the slope of Horizontal Tangent is
Thus, there are two horizontal tagts. at
Similarly, for the Vertical Tangent, we must have undefined