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First Derivative Sign Charts A function f (x) is said to be increasing if f (x1) f (x2) wheneverx1 x2, and it is said to be decreasing if f (x1) f (x2) wheneverx1 x2. The derivative of a function
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First derivative sign charts show the intervals where the first derivative of a function is positive, negative, or zero.
Anyone studying or analyzing functions may be required to file first derivative sign charts.
To fill out first derivative sign charts, calculate the first derivative of the function and determine the sign of the derivative in each interval.
The purpose of first derivative sign charts is to analyze the behavior of a function and identify critical points such as local extrema and inflection points.
First derivative sign charts should include the intervals where the first derivative is positive, negative, or zero, along with any critical points.
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