Use Definition 1 or 2 to find the instantaneous rate of change of the function at the given value. N(x) = 1/x, X = 8 %3D 1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.5: Linear Functions And Models
Problem 1E: Let f be a function with constant rate of change. Then a f is a ________ function and f is of the...
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I Definition The instantaneous rate of change of a function f at the
input value x, is
f(x) – f(x)
Ay
lim
Ar→0 Ax
lim
X2 – X
if this limit exists.
I The instantaneous rate of change of a function f at the input value a
is
f(a + h) – f(a)
lim
if this limit exists.
Transcribed Image Text:I Definition The instantaneous rate of change of a function f at the input value x, is f(x) – f(x) Ay lim Ar→0 Ax lim X2 – X if this limit exists. I The instantaneous rate of change of a function f at the input value a is f(a + h) – f(a) lim if this limit exists.
Use Definition 1 or 2 to find the instantaneous rate of change of the function at the given value.
N(x) = 1/x,
x = 8
1
Additional Materials
eBook
Transcribed Image Text:Use Definition 1 or 2 to find the instantaneous rate of change of the function at the given value. N(x) = 1/x, x = 8 1 Additional Materials eBook
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