11-26-2011, 08:28 PM
Lesson 3 - Continuity
Does the derivative exist?
To text if the derivative exists, we can observe three things.
- Is the function continuous at that point?
- Are the slope before and after the point opposite? If the function forms a point (the tangent never has a slope of 0), the function is not differentiable at that point.
How do we find if the graph is continuous at a point?
A function is said to be continuous at a point (A) if:
- F is defined at A.
- The limit of f(A) exists.
- The limit of f(A) equals A.