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(3). Find the critical numbers 1/ a) b) f(x)=x²-x²-2x+3 f(x)= x(3-x)¹/3

(3). Find the critical numbers 1/ a) b) f(x)=x²-x²-2x+3 f(x)= x(3-x)¹/3

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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### Calculus: Finding Critical Numbers In this exercise, we will determine the critical numbers of given functions. The critical numbers of a function \( f(x) \) are the values of \( x \) where the first derivative \( f'(x) \) is either zero or undefined. #### Problem Statement **(3) Find the critical numbers \( x \).** **a)** \[ f(x) = \frac{1}{3}x^3 - \frac{1}{2}x^2 - 2x + 3 \] **b)** \[ f(x) = x(3 - x)^{1/3} \]
Transcribed Image Text:### Calculus: Finding Critical Numbers In this exercise, we will determine the critical numbers of given functions. The critical numbers of a function \( f(x) \) are the values of \( x \) where the first derivative \( f'(x) \) is either zero or undefined. #### Problem Statement **(3) Find the critical numbers \( x \).** **a)** \[ f(x) = \frac{1}{3}x^3 - \frac{1}{2}x^2 - 2x + 3 \] **b)** \[ f(x) = x(3 - x)^{1/3} \]
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