The instantaneous slope of f(x) (when f(x) is a polynomial) Hint: 120 GO f(x)=x²-2x - 5 compute the instantaneous slope at: (-1,-2) The secant slope through the points (x, f(x)) and (-1, -2) is: And the instantaneous slope through (-1, -2) is: lim (A) = = -1 x-3
The instantaneous slope of f(x) (when f(x) is a polynomial) Hint: 120 GO f(x)=x²-2x - 5 compute the instantaneous slope at: (-1,-2) The secant slope through the points (x, f(x)) and (-1, -2) is: And the instantaneous slope through (-1, -2) is: lim (A) = = -1 x-3
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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mis net as describe having two separate points that get mely close. For
´ f(x) – f(a)
• SO instantaneous slope:
xa
• note: dy and do take the place of Ay and Ax because with instantanous rates of change, the individual "change" in y or in x is zero (we
don't have two points for there to be any A).
• however: we've seen before that ratios of values that approach zero (as in →) may still produce a real limit.
-10
Note: You can earn partial credit on this problem.
And the instantaneous slope through (-1, -2) is: lim
x-1
The instantaneous slope of f(x)
(when f(x) is a polynomial)
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Ay
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=
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compute the instantaneous slope at: (−1, −2)
The secant slope through the points (x, ƒ(x)) and (−1, −2) is:
Ay
Ax
1,0
−1
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(1,-6)
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