8: Limits and Derivative
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- 26565
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Limits and Derivative
We have already learned about asymptotes. Asymptotes describe when the function approaches negative or positive infinity at various values of x. The limit describes the behavior of a function at any value of x.
Limits give us a better language for discussing the value of f(x) when x approaches a specific value.
The Derivative of a function is a method of finding the limit of the function's rate of change. The rate of change of a linear function is the slope and is one value. When the function is not a line, the rate of change can take on many values based on the location of the function's x and x+ h values.
In this chapter, we will begin the exploration of Limits and Derivatives.