18 6,sqrt(26)) 1.8 1,0 F10 10 <-10 f(x) = v3x + 8 %3D compute the instantaneous slope at: (6, v26)

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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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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The instantaneous slope of f(x)
when f(x) is radical
10
6,sqrt(26))
1.0
F10
1,0
10
-10
f(x) = V3x + 8
%3D
compute the instantaneous slope at: (6, v26)
Start with two points
A : (6, v26) and B : (6+ h, ?)
What is the y-coordinate of B?
• Because the x-coordinate of B depends on h, the y-coordinate will also
depend on h.
Compute Ax and Ay
Compute and Reduce Ax/Ay
Finding the limit
Use the steps above to compute the instantaneous rate of change for f(x) at
(6, v26), then use your answer to find an equation for the line tangent to f(x) at
(6, /26):
Transcribed Image Text:The instantaneous slope of f(x) when f(x) is radical 10 6,sqrt(26)) 1.0 F10 1,0 10 -10 f(x) = V3x + 8 %3D compute the instantaneous slope at: (6, v26) Start with two points A : (6, v26) and B : (6+ h, ?) What is the y-coordinate of B? • Because the x-coordinate of B depends on h, the y-coordinate will also depend on h. Compute Ax and Ay Compute and Reduce Ax/Ay Finding the limit Use the steps above to compute the instantaneous rate of change for f(x) at (6, v26), then use your answer to find an equation for the line tangent to f(x) at (6, /26):
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