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+----- Thread: Lesson 3 - Continuity (/showthread.php?tid=23455)
Lesson 3 - Continuity - Daniel Faraday - 11-26-2011
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.