3.3 Increasing and Decreasing and the First Derivative Test Objective: Determine intervalues in which a function is increasing or decreasing and apply the First Derivative Test. Miss Battaglia AP Calculus AB/BC. Increasing and Decreasing Functions.
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3.3 Increasing and Decreasing and the First Derivative TestObjective: Determine intervalues in which a function is increasing or decreasing and apply the First Derivative Test.
AP Calculus AB/BC
A function f is increasing on an interval for any two numbers x1and x2 in the interval, x1<x2 implies f(x1)<f(x2)
A function f is decreasingon an interval for any two numbers x1 and x2 in the interval, x1<x2 implies f(x1)>f(x2)
Increasing! Pierre the Mountain Climbing Ant is climbing the hill from left to right.
Decreasing! Pierre is walking downhill.
Let f be a function that is continuous on the closed interval [a,b] and differentiable on the open interval (a,b).
Find the open intervals on which is increasing or decreasing.
Find the relative extrema of the function in the interval (0,2π)