Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h 8 =x5 x + 5 f(x) = f(a) = f(a+h) = f(a+h)-f(a) h 8 a +5 8 (a+h) + 5 -8h (a² + 2ah+h²) x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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the last equation needs to be solved. 

Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0.
h
8
=x5
x + 5
f(x) =
f(a)
=
f(a+h) =
f(a+h)-f(a)
h
8
a +5
8
(a+h) + 5
-8h
(a² + 2ah+h²)
x
Transcribed Image Text:Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h 8 =x5 x + 5 f(x) = f(a) = f(a+h) = f(a+h)-f(a) h 8 a +5 8 (a+h) + 5 -8h (a² + 2ah+h²) x
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