Find all critical points on the curve r – 9x + 1. For each critical point, determine whether it is a max, a min, or neither.

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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6. Find all critical points on the curve \(x^3 - 9x + 1\). For each critical point, determine whether it is a max, a min, or neither.
Transcribed Image Text:6. Find all critical points on the curve \(x^3 - 9x + 1\). For each critical point, determine whether it is a max, a min, or neither.
7. Explain why the graph of a quadratic polynomial can never have an inflection point. (HINT: Recall that a quadratic polynomial has the form \( f(x) = ax^2 + bx + c \), where we assume \( a \neq 0 \)).
Transcribed Image Text:7. Explain why the graph of a quadratic polynomial can never have an inflection point. (HINT: Recall that a quadratic polynomial has the form \( f(x) = ax^2 + bx + c \), where we assume \( a \neq 0 \)).
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