point (-3, -6) by using the following parameters. (1) The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m = lim (x)-f(a) provided that this limit exists. x-a x-a Find the slope of the tangent line to the par m= (ii) The expression of slope is In = lim h10 y = m= f(a+h)-f(a) h (b) Find an equation of the tangent line in part (a). (c) Graph the parabola and the tangent line. As a check on your work, zoom in toward the point (-3, -6) until the parabola and the tangent line are indistinguishable.
point (-3, -6) by using the following parameters. (1) The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m = lim (x)-f(a) provided that this limit exists. x-a x-a Find the slope of the tangent line to the par m= (ii) The expression of slope is In = lim h10 y = m= f(a+h)-f(a) h (b) Find an equation of the tangent line in part (a). (c) Graph the parabola and the tangent line. As a check on your work, zoom in toward the point (-3, -6) until the parabola and the tangent line are indistinguishable.
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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Question
![W Definition of Derivative - MT 181, section 001, Spring 2023 | WebAssign
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1. [3.33/10 Points] DETAILS
f'(x) = m
Find the derivative of the function using the definition of derivative.
f(x) = = mx + b
-8,8
State the domain of the function. (Enter your answer using interval notation.)
-8,8
Need Help?
X
State the domain of its derivative. (Enter your answer using interval notation.)
f'(t) =
PREVIOUS ANSWERS
X
2. [-/10 Points] DETAILS
Read It
State the
S How do you find the equations of the tangent lines to the cu
SCALCET9 2.8.022.
SCALCET9 2.8.023.
Find the derivative of the function using the definition of derivative.
f(t) = 7.5t² + 8t
State the domain of the function. (Enter your answer using interval notation.)
webassign.net
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Transcribed Image Text:W Definition of Derivative - MT 181, section 001, Spring 2023 | WebAssign
Your last submission is used for your score.
1. [3.33/10 Points] DETAILS
f'(x) = m
Find the derivative of the function using the definition of derivative.
f(x) = = mx + b
-8,8
State the domain of the function. (Enter your answer using interval notation.)
-8,8
Need Help?
X
State the domain of its derivative. (Enter your answer using interval notation.)
f'(t) =
PREVIOUS ANSWERS
X
2. [-/10 Points] DETAILS
Read It
State the
S How do you find the equations of the tangent lines to the cu
SCALCET9 2.8.022.
SCALCET9 2.8.023.
Find the derivative of the function using the definition of derivative.
f(t) = 7.5t² + 8t
State the domain of the function. (Enter your answer using interval notation.)
webassign.net
MacBook Pro
Transcribed Image Text:W Tangent line - MT 181, section 001, Spring 2023 | WebAssign
(a) Find the slope of the tangent line to the parabola y = x² + 5x at the point (-3, -6) by using the following parameters.
(i) The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m = lim
x→a
m =
(ii) The expression of slope is In = = lim
h 0
y =
m =
(b) Find an equation of the tangent line in part (a).
-10
-10
y
15t
10
5
-10
(c) Graph the parabola and the tangent line. As a check on your work, zoom in toward the point (-3, -6) until the parabola and the tangent line are indistinguishable.
y
15
10
5
f(a+h)-f(a)
h
-5
-10
S How do you find the equations of the tangent lines to the curve y= (x-1)/(x+1) t...
5
5
webassign.net
X
X
-10
45
10
5
10
-10
AA
-10
-20
f(x) - f(a)
x-a
-30
C
MacBook Pro
G Find the derivative of the function using the definition of derivative. f(x) = mx +...
provided that this limit exists.
-5
10
-10
-20
-30
5
10
X
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