Determine the equation of the line tangent to the graph of y when x = 9. 2 + VI

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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Please help me solve question 4,5,6,8 and 9 only
2. Determine the equation of the line tangent to the graph of y = x³ + 2x at the point (1,3).
2.x + 1
3. Determine the equation of the line tangent to the graph of
at the point (1, 1).
x + 2
4. Determine the equation of the line tangent to the graph of y
when r = 9.
2 + VI
5. Assume that f is a differentiable function where f(3)
of the line tangent to f when x = 3.
5 and f(3) = 2. Find the equation"
6. Suppose f is a function where the line tangent to it at r = 3 is given by y = 5x + 2. Find the
values of f(3) and f'(3).
4
7. Find g'(a) if 9(x) =
V1 -
8. Let g(x) be a function such that g(2) = -3 and g'(2) = 5.
Define f(x) = x2•g(x). Find the value of ((2). (Remember to use the limit definition
of the derivative!)
9. Let v(x) be a function such that v(5) = -1 and v'(5) =5.
Define u(x):
Find the value of u'(5). (Remember to use the limit definition of
v(x)"
the derivative!)
Transcribed Image Text:2. Determine the equation of the line tangent to the graph of y = x³ + 2x at the point (1,3). 2.x + 1 3. Determine the equation of the line tangent to the graph of at the point (1, 1). x + 2 4. Determine the equation of the line tangent to the graph of y when r = 9. 2 + VI 5. Assume that f is a differentiable function where f(3) of the line tangent to f when x = 3. 5 and f(3) = 2. Find the equation" 6. Suppose f is a function where the line tangent to it at r = 3 is given by y = 5x + 2. Find the values of f(3) and f'(3). 4 7. Find g'(a) if 9(x) = V1 - 8. Let g(x) be a function such that g(2) = -3 and g'(2) = 5. Define f(x) = x2•g(x). Find the value of ((2). (Remember to use the limit definition of the derivative!) 9. Let v(x) be a function such that v(5) = -1 and v'(5) =5. Define u(x): Find the value of u'(5). (Remember to use the limit definition of v(x)" the derivative!)
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