For f(x) = √x+1, find ƒ'(x) using the definition f'(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using this, find the tangent line to the graph of y = √x+1 at x = 3. Write the equation of the line in slope-intercept form. y =

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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For f(x) = √x + 1, find ƒ '(x) using the definition ƒ '(x) = lim
f(x+h)-f(x)
h
h→0
f'(x) =
Using this, find the tangent line to the graph of y = √x + 1 at x = 3. Write the equation of the line in slope-intercept form.
y =
Transcribed Image Text:For f(x) = √x + 1, find ƒ '(x) using the definition ƒ '(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using this, find the tangent line to the graph of y = √x + 1 at x = 3. Write the equation of the line in slope-intercept form. y =
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