Quote of the Day: 
"The arithmetic of life does not always have a logical answer."
    -- Inshirah Abdur-Rauf

Objectives:
The student will take derivates of implicitly-defined 
   functions.
The student will learn the definitions of orthogonal and normal 
   to a curve.

1. So far, the functions we have been working with have 
   been explicitly expressed in terms of one variable:

   y = f(x)        y = sin(x)       y = 3x-5

   We often see relations like these:

   We can solve these for y in terms of x.

   But there are some equations which we can not solve 
      for  y:

   These relations are said to be implicitly defined and we
   can find their derivatives using implicit differentiation. 

2. Examples:

3. Define orthogonal curves: 
      Curves which are perpendicular to each other.
   Define Normal to a curve 
      A normal to a curve is the line perpendicular to the 
      tangent line at that point.

   Example:  

	
4. Assignment: 
    p. 253 (1, 8, 12, 15, 17) 

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