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  Home : Math & Science : Math Study Guides : Calculus AB : The Derivative : Problems from "Using the First Derivative to Analyze Functions"
Applications of the Derivative (AB)
  
 
Problems from "Using the First Derivative to Analyze Functions"
Problem 5.1: f (x) = x3 -4x2 - 4. Show where f (x) is increasing and where it is decreasing.
[Solution]
Problem 5.2: f (x) = sin(x). Where is f increasing and decreasing on the interval [0, 2π]?
[Solution]
Problem 5.3: Classify the critical points of f (x) = x3 -3x2 - 9x.
[Solution]
Problem 5.4: Below is the graph of the derivative of a function f. Find regions where f is increasing and decreasing, and classify the critical points.
[Solution]
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