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A. Direction: Find the equation of the tangent line of the following functions at the specified point if it exists. 1. у %3D 3x2 - 12х + 1 (0, 1) 2. y = (1, 1) 3. Juan claims that the tangent line to the curve y = x² – 4x + 5 at the point (2,1) is horizontal. Help Juan to prove his claim.

A. Direction: Find the equation of the tangent line of the following functions at the specified point if it exists. 1. у %3D 3x2 - 12х + 1 (0, 1) 2. y = (1, 1) 3. Juan claims that the tangent line to the curve y = x² – 4x + 5 at the point (2,1) is horizontal. Help Juan to prove his claim.

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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A. Direction: Find the equation of the tangent line of the following functions at the specified point if it exists. 1. у %3 3x2 - 12х + 1 (0, 1) 1 2. У 3 (1, 1) 3. Juan claims that the tangent line to the curve y= x² – 4x + 5 at the point (2,1) is horizontal. Help Juan to prove his claim. B. Directions: Find the slope of the tangent line to the curve at the given point. 1. y = x + (2, 3) 2. y = x³ – 3x (1, – 2)
Transcribed Image Text:A. Direction: Find the equation of the tangent line of the following functions at the specified point if it exists. 1. у %3 3x2 - 12х + 1 (0, 1) 1 2. У 3 (1, 1) 3. Juan claims that the tangent line to the curve y= x² – 4x + 5 at the point (2,1) is horizontal. Help Juan to prove his claim. B. Directions: Find the slope of the tangent line to the curve at the given point. 1. y = x + (2, 3) 2. y = x³ – 3x (1, – 2)
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