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Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point. 3 f(x) = ²x² + 6x³ − 75x 75x² - 450x (Use decimal notation. Give your answers to two decimal places.) Write the critical points in an increasing order.

Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point. 3 f(x) = ²x² + 6x³ − 75x 75x² - 450x (Use decimal notation. Give your answers to two decimal places.) Write the critical points in an increasing order.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point. 3 f(x) = x² + 6x³ -x² - 450x - 75 2 (Use decimal notation. Give your answers to two decimal places.) Write the critical points in an increasing order. C₁ = c₁ yields a O Local minimum O Local maximum C₂ = C₂ yields a Local maximum O Local minimum C3 = c3 yields a O Local minimum O Local maximum
Transcribed Image Text:Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point. 3 f(x) = x² + 6x³ -x² - 450x - 75 2 (Use decimal notation. Give your answers to two decimal places.) Write the critical points in an increasing order. C₁ = c₁ yields a O Local minimum O Local maximum C₂ = C₂ yields a Local maximum O Local minimum C3 = c3 yields a O Local minimum O Local maximum
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