Let f(x)=√x (9) Find f'(9) using the limit definition of a derivative (b) Use the result from part (a) to find the equation of the line tangent to f at x= 9
Let f(x)=√x (9) Find f'(9) using the limit definition of a derivative (b) Use the result from part (a) to find the equation of the line tangent to f at x= 9
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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![6 The position of a particle moving along a straight line 13
as x
a in
given by
S(t)=+³+1
Where t1 in seconds and S(t) in meters. Use limits to
Obtain an expression for the velocity V(+) of the particle at
time t.
7 Use the intermediate value theorum (IVT) to show that
"/10 lies between 1 and 2. State clearly to which
applying the IVT.
Continuous funchon
are
you](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00b68703-8a57-4289-9590-992d59c65127%2Ff849c97f-f453-4be3-b687-e6975fd2a2f0%2F76x237w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6 The position of a particle moving along a straight line 13
as x
a in
given by
S(t)=+³+1
Where t1 in seconds and S(t) in meters. Use limits to
Obtain an expression for the velocity V(+) of the particle at
time t.
7 Use the intermediate value theorum (IVT) to show that
"/10 lies between 1 and 2. State clearly to which
applying the IVT.
Continuous funchon
are
you
![1
Let f(x)=√x
(9) Find f'(9) using the limit definition of a derivative
(b) Use the result from part (a) to find the equation
of the line tangent to f at x= 9
2 Use the limit definition of a derivative to find g'(3),
g(x) = sin(2x-6)
where
3 Consider the function f(x)=
Suppose that f is continuous at X=2. Find the value of.
dustify your
ans wer
4-x²
X-21
A, If x=2
4 Let g(x)=²x-5.
Justify your answer
If x #2
Is the line x = 5 a vertical asymptote?
by computing the relavent limity](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00b68703-8a57-4289-9590-992d59c65127%2Ff849c97f-f453-4be3-b687-e6975fd2a2f0%2F6g1xbl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
Let f(x)=√x
(9) Find f'(9) using the limit definition of a derivative
(b) Use the result from part (a) to find the equation
of the line tangent to f at x= 9
2 Use the limit definition of a derivative to find g'(3),
g(x) = sin(2x-6)
where
3 Consider the function f(x)=
Suppose that f is continuous at X=2. Find the value of.
dustify your
ans wer
4-x²
X-21
A, If x=2
4 Let g(x)=²x-5.
Justify your answer
If x #2
Is the line x = 5 a vertical asymptote?
by computing the relavent limity
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