The instantaneous slope of f(x) when f(x) is polynomial Compute Az and Ay Compute and Reduce Az/Ay f(a)-²+2-4 compute the instantaneous slope at: (-4,-6) Start with two points A: (-4,-6) and B: (-4+h,?) What is the y-coordinate of B Because the coordinate of B depends on h, the y-coordinate will also depend on h Finding the limit Use the steps above to compute the instantaneous rate of change for f(a) at (-4,-6), then use your answer to find an equation for the line tangent to f(a)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
Start with two points
A: (-4,-6) and B: (-4+A,?)
What is the y-coordinate of B
The instantaneous slope of f(x)
when f(x) is polynomial
Compute Az and Ay
Compute and Reduce Az/Ay
f(x)=2²+=-4
compute the instantaneous slope at: (-4,-6)
0
• Because the z-coordinate of B depends on h, the y-coordinate will also depend on A
Finding the limit
Use the steps above to compute the instantaneous rate of change for f(a) at (-4,-6), then use your answer to find an equation for the line tangent to f(a)
at (-4,-6):
Transcribed Image Text:Start with two points A: (-4,-6) and B: (-4+A,?) What is the y-coordinate of B The instantaneous slope of f(x) when f(x) is polynomial Compute Az and Ay Compute and Reduce Az/Ay f(x)=2²+=-4 compute the instantaneous slope at: (-4,-6) 0 • Because the z-coordinate of B depends on h, the y-coordinate will also depend on A Finding the limit Use the steps above to compute the instantaneous rate of change for f(a) at (-4,-6), then use your answer to find an equation for the line tangent to f(a) at (-4,-6):
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