Equation of a Tangent Line: Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specified points.(Use method 1)
Equation of a Tangent Line: Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specified points.(Use method 1)
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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Equation of a Tangent Line: Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specified points.(Use method 1)
![Method 1
m = lim (x)-f(a)
x→a
х-а
Where: m = slope
f(x) = given function
a = point of tangency at x=a
f(a) = function evaluated as "a"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00fc3ea2-df5d-4a06-a85d-31975bfea58c%2F556caf51-19ac-4635-abf2-8969c464c678%2Ftl52knj_processed.png&w=3840&q=75)
Transcribed Image Text:Method 1
m = lim (x)-f(a)
x→a
х-а
Where: m = slope
f(x) = given function
a = point of tangency at x=a
f(a) = function evaluated as "a"
![1. f(x) = x² – 4x + 1 at point (0,1)
2. f(x) = x³ + 2 at point (1,3)
3. f(x) = 2x* + 3x³ – 2x + 7 at point (-1,8)
4. f(x) = v2x + 7 at x = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00fc3ea2-df5d-4a06-a85d-31975bfea58c%2F556caf51-19ac-4635-abf2-8969c464c678%2Fsbauwsj_processed.png&w=3840&q=75)
Transcribed Image Text:1. f(x) = x² – 4x + 1 at point (0,1)
2. f(x) = x³ + 2 at point (1,3)
3. f(x) = 2x* + 3x³ – 2x + 7 at point (-1,8)
4. f(x) = v2x + 7 at x = 1
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