INCREASING & DECREASING FUNCTIONS
INCREASING & DECREASING FUNCTIONS
INCREASING & DECREASING FUNCTIONS
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<strong>INCREASING</strong> AND <strong>DECREASING</strong> <strong>FUNCTIONS</strong>Derivative Test for Increasing and DecreasingSuppose f (x) is a function whose derivative exists at everypoint in some interval (a, b).• if f 0 (x) > 0 for all x in (a, b), the function is increasing on (a, b).• if f 0 (x) < 0 for all x in (a, b), the function is decreasing on(a, b).• if f 0 (x) =0 for all x in (a, b), the function is constant on (a, b).How can we determine these intervals from the equation of thefunction?
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