f(x) = x² + 3x + 4 f(x + h) – f(x) First, find h |(x^2+2hx+h^2+3x+3h+4)/h Preview Next, simplify the numerator. |(x^2+2hx+h^2+3x+3h+4) * Preview Divide out the h. |(x^2+2hx+h^2+3x+3h+4) * Preview So now, find the limit f(x + h) – f(x) lim h→0 2x+3 Preview h
f(x) = x² + 3x + 4 f(x + h) – f(x) First, find h |(x^2+2hx+h^2+3x+3h+4)/h Preview Next, simplify the numerator. |(x^2+2hx+h^2+3x+3h+4) * Preview Divide out the h. |(x^2+2hx+h^2+3x+3h+4) * Preview So now, find the limit f(x + h) – f(x) lim h→0 2x+3 Preview h
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...
Related questions
Question
![f(x) = x² + 3x + 4
f(x + h) – f(x)
First, find
h
(x^2+2hx+h^2+3x+3h+4)/h
Preview
Next, simplify the numerator.
(x^2+2hx+h^2+3x+3h+4) *
Preview
Divide out the h.
(x^2+2hx+h^2+3x+3h+4) *
Preview
So now, find the limit
f(x + h) – f(x)
lim
h→0
2x+3
Preview
h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe044980e-0252-4007-ad93-f032ec2c5ab3%2F5e2ff6a4-e4cc-4315-8ea6-d83e9ab50ef7%2Fmax5x9l_processed.png&w=3840&q=75)
Transcribed Image Text:f(x) = x² + 3x + 4
f(x + h) – f(x)
First, find
h
(x^2+2hx+h^2+3x+3h+4)/h
Preview
Next, simplify the numerator.
(x^2+2hx+h^2+3x+3h+4) *
Preview
Divide out the h.
(x^2+2hx+h^2+3x+3h+4) *
Preview
So now, find the limit
f(x + h) – f(x)
lim
h→0
2x+3
Preview
h
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