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
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
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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