We learned about derivatives a lot this week and what we can predict about the graph of f' when looking at the function f, such as maximums and minimums corresponding to zeroes on the graph of the derivative. Also, the points of highest slope on the original function f correspond to the maximums and minimums on the derivative function. The difference quotient which we now know as the derivative is used to determine slope at a point which from a direct approach using zero as the movement is impossible, but using a value very near zero will tell you the slope at the point, assuming there is rate of change at a point.
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Gavin RoupeChess Expert, interested in Psych and fun ArchivesCategories |