Wednesday, March 12, 2008

2.4: The Second Derivative

Main Points

The second derivative (2-d) is the derivative of an already derived function and is denoted f '' as well as d^2y/dx^2. When the 2-d > 0, f ' is increasing and the graph of f is concave up and when 2-d <>

Challenges
How do you tell when a 2d is positive or negative? If its just by looking at whether the graph is concave up or down, what happens when we cant see it? and why is a trough concave up and a crest concave down??

Reflections
I'm beginning to lose my grasp on just how applicable calculus is to the real world as it gets more complex. Would a second derivative really be used?

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