2. Let f(x)=√x. Find an equation of the tangent line to the graph of f at the point where x = 16 and use it to approximate √16.2. Find f'(x) and use it to determine whether your approximation is an underestimate or an overestimate. Show all work.
2. Let f(x)=√x. Find an equation of the tangent line to the graph of f at the point where x = 16 and use it to approximate √16.2. Find f'(x) and use it to determine whether your approximation is an underestimate or an overestimate. Show all work.
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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# 2 please :)
![Note that some problems cover material in Units 1-3.
ent on
1. Draw a graph of a function f(x) that is continuous over the interval [0,10] and whose
derivative f'(x) is positive and increasing over the interval [0,10]. Write a sentence
explaining your answer.
0
1
2
3
4
5
6
632
8
9
10
1.1
if f(x)=x2
then f(x) is continuous arer [ 0, 10] =
f'(x) = 2x is positive and incresing
over [0,10]
niomob
2. Let f(x)=√x. Find an equation of the tangent line to the graph of f at the point
where x = 16 and use it to approximate √16.2. Find f'(x) and use it to determine
whether your approximation is an underestimate or an overestimate. Show all work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc79fee21-4fb9-400b-9fad-1822de48da4e%2F57111d96-9b20-4336-98cb-8a3e40c20431%2Fgf04s53_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Note that some problems cover material in Units 1-3.
ent on
1. Draw a graph of a function f(x) that is continuous over the interval [0,10] and whose
derivative f'(x) is positive and increasing over the interval [0,10]. Write a sentence
explaining your answer.
0
1
2
3
4
5
6
632
8
9
10
1.1
if f(x)=x2
then f(x) is continuous arer [ 0, 10] =
f'(x) = 2x is positive and incresing
over [0,10]
niomob
2. Let f(x)=√x. Find an equation of the tangent line to the graph of f at the point
where x = 16 and use it to approximate √16.2. Find f'(x) and use it to determine
whether your approximation is an underestimate or an overestimate. Show all work.
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