alternate version of def. of derivative
f(x) on [a,b] =
The derivative of a function is a measure of how quickly the function changes as its input changes. It is the limit of the ratio of the change in the function to the change in the input, as the size of the change in the input approaches zero. In other words, it is the slope of the tangent line to the function at a given point. The derivative is a fundamental concept in calculus, and is used to analyze rates of change, optimization problems, and other applications in mathematics and science.
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