problem finds the derivative of a function at a point using the formal definition. The process is broken down into the following steps: 1 Let f(x) be the function x +9 a and b= 1 . f(9+h)-f(9) Then the limit lim h-0 h Evaluate the limit as h→ to calculate f'(9) 0 -1 h-0 ah+b can be simplified to lim - for:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 20E
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This problem finds the derivative of a function at a point using the formal definition.
The process is broken down into the following steps: A
Let f(x) be the function
a=
and
b=
x+9
Evaluate the limit as h→>>
Then the limit lim
h-0
to calculate f'(9) =
O
t
31
g
f(9+h)-f(9)
h
0
-1
h-0 ah+b
can be simplified to lim
T
for:
Nov 23 5:13
Transcribed Image Text:This problem finds the derivative of a function at a point using the formal definition. The process is broken down into the following steps: A Let f(x) be the function a= and b= x+9 Evaluate the limit as h→>> Then the limit lim h-0 to calculate f'(9) = O t 31 g f(9+h)-f(9) h 0 -1 h-0 ah+b can be simplified to lim T for: Nov 23 5:13
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,