Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 3, Problem 1PE
(a)
To determine
The meaning of slope of the tangent line.
(a)
Expert Solution
Explanation of Solution
A tangent to a function
Tangent line is parallel to graph of function given in the problem.
So,
Slope of tangent line tells us the rate of change at a particular instant.
(b)
To determine
The comparison of slope of the tangent line to the slope of the secant line.
(b)
Expert Solution
Explanation of Solution
Secant line is the line that touches the graph at a single point, that is not parallel to the graph of the function whereas tangent line is the line that touches the graph at a single point, that is parallel to graph of the function.
(c)
To determine
The meaning of normal line to a graph.
(c)
Expert Solution
Explanation of Solution
Normal line is the line that is perpendicular to the tangent line to the graph of function given in the problem.
The slope of the normal line is the negative reciprocal of the slope of the tangent line.
A normal line can touch the graph of the function at more than one point.
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Please find the open intervals where the functions are concave upward or concave downward. Find any inflection points also thanks!Note: This is a practice problem!
Use the graph below to evaluate each limit.
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lim f(x)⇒
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Chapter 3 Solutions
Calculus
Ch. 3.1 - Prob. 1PSCh. 3.1 - Prob. 2PSCh. 3.1 - Prob. 3PSCh. 3.1 - Prob. 4PSCh. 3.1 - Prob. 5PSCh. 3.1 - Prob. 6PSCh. 3.1 - Prob. 7PSCh. 3.1 - Prob. 8PSCh. 3.1 - Prob. 9PSCh. 3.1 - Prob. 10PS
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