If the derivative dx/dy exists at a point and dx/dy = 0, then the tangent line is vertical. Use this information and the given equation to answer the following questions-
y4 + 5 = y2 + x2
1) Find dx/dy
Ans: y4 + 5 = y2 + x2
4y3 =2 y + 2x dx/dy
(4y3 -2 y)/ 2x = dx/dy
2) Find the points on the graph where the tangent line is vertical. Arrange the values from smallest to largest.
How do I do this one? Some one please help me with this.
(P.S.-please show the step so I will understand)