# Calculus AB: Applications of the Derivative

### Problems from "Using the First Derivative to Analyze Functions"

Problem : f (x) = x 3 -4x 2 - 4 . Show where f (x) is increasing and where it is decreasing.

Problem : f (x) = sin(x) . Where is f increasing and decreasing on the interval [0, 2Π]?

Problem : Classify the critical points of f (x) = x 3 -3x 2 - 9x .

Problem : Below is the graph of the derivative of a function f . Find regions where f is increasing and decreasing, and classify the critical points.

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