Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
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Textbook Question
Chapter 2.7, Problem 2PT
The slope of the tangent line to y = x3 at x = 2 is:
- a) 18
- b) 12
- c) 6
- d) 0
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D) Consider the function y=x6−2. Do the following steps:1) Find the tangent line at x=12) Find the x-intercept of the tangent line in part (A), to be called x1 3) Find the tangent line (#2) at x1, to be called y2 4) Find the x-intercept of the tangent line y2, to be called x2 5) Find the tangent line (#3) at x2, to be called y3 6) Find the x-intercept of the tangent line y3, to be called x3 7) Sketch the graph of the function and each tangent line on the same graph, legibly8) Calculate 6√2 to the thousandth place using your choice of technology & compare its value to x3 9) Calculate (x3)6−2 & make the connection to part (8)
The number of tangents to the curve of y=
x³+6x² which have a slope of 8 is:
3
O 1) 1
O 2) O
O 3) 3
O 4) 2
write the equation of the tangent line
Chapter 2 Solutions
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Ch. 2.1 - Prob. 1PTCh. 2.1 - Prob. 2PTCh. 2.1 - Prob. 3PTCh. 2.1 - True or False:
The slope of a tangent line may be...Ch. 2.2 - Prob. 1PTCh. 2.2 - Prob. 2PTCh. 2.2 - Prob. 3PTCh. 2.2 - Prob. 4PTCh. 2.2 - Prob. 5PTCh. 2.2 - Prob. 6PT
Ch. 2.2 - True or False: The graph in question 3 has a...Ch. 2.3 - Prob. 1PTCh. 2.3 - Prob. 2PTCh. 2.3 - Prob. 3PTCh. 2.3 - Prob. 4PTCh. 2.3 - Prob. 5PTCh. 2.3 - Prob. 6PTCh. 2.3 - Prob. 7PTCh. 2.4 - Prob. 1PTCh. 2.4 - Prob. 2PTCh. 2.4 - Prob. 3PTCh. 2.4 - Prob. 4PTCh. 2.5 - Sometimes, Always, or Never: If limxaf(x) and f(a)...Ch. 2.5 - Prob. 2PTCh. 2.5 - Prob. 3PTCh. 2.5 - Prob. 4PTCh. 2.5 - Prob. 5PTCh. 2.5 - Prob. 6PTCh. 2.6 - Prob. 1PTCh. 2.6 - Prob. 2PTCh. 2.6 - Prob. 3PTCh. 2.6 - Prob. 4PTCh. 2.6 - Prob. 5PTCh. 2.6 - Prob. 6PTCh. 2.6 - Prob. 7PTCh. 2.6 - Prob. 8PTCh. 2.6 - Prob. 9PTCh. 2.7 - Prob. 1PTCh. 2.7 - The slope of the tangent line to y = x3 at x = 2...Ch. 2.7 - Prob. 3PTCh. 2.7 - Prob. 4PTCh. 2.7 - Prob. 5PTCh. 2.7 - Prob. 6PTCh. 2.7 - Prob. 7PTCh. 2.7 - Prob. 8PTCh. 2.7 - Prob. 9PTCh. 2.7 - Which is the largest? a) f(a) b) f(b) c) f(c) d)...Ch. 2.8 - True or False: f(x) = tan x is differentiable at...Ch. 2.8 - Prob. 2PTCh. 2.8 - Prob. 3PTCh. 2.8 - Prob. 4PT
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