Expert: Paul Klarreich - 1/9/2010

Question
Find the location of  all horizontal and vertical tangents...
1)). x * y^2 - 2y = 2      2)). x^2 + y^3 - 3y = 4

Please illustrate your answer.....

Answer
Questioner: Jaim
Country: Malaysia
Category: Calculus
Private: No
Subject: derivative
Question: Find the location of  all horizontal and vertical tangents...
1)). x * y^2 - 2y = 2      2)). x^2 + y^3 - 3y = 4

Please illustrate your answer.....
.......................................
To find your horizontal tangents, you want to:

1. Find dy/dx (using implicit differentiation)
2. set dy/dx = 0 and solve.

To find your vertical tangents, you want to:

1. Find dy/dx (using implicit differentiation)
2. Find where dy/dx is undefined (infinite?).

OR:  

To find your vertical tangents, you want to:

1. Pretend you have x = f(y), find dx/dy (using implicit differentiation)
2. Find where dx/dy = 0.

Try this -- let me know what you did and I'll see if I can help.

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