Use the definition of the derviative to compute the derivative of f(x) = √√x +4 at the specific point x = = 3. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). f'(3) = lim h→0 f(3 + h) − f(3) h - = 1 2√7 = lim h→0

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.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 25E
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Use the definition of the derviative to compute the
derivative of f(x) = √√x +4 at the specific point x = = 3.
Evaluate the limit by using algebra to simplify the difference
quotient (in first answer box) and then evaluating the limit
(in the second answer box).
f'(3) = lim
h→0
f(3 + h) − f(3)
h
-
=
1
2√7
= lim
h→0
Transcribed Image Text:Use the definition of the derviative to compute the derivative of f(x) = √√x +4 at the specific point x = = 3. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). f'(3) = lim h→0 f(3 + h) − f(3) h - = 1 2√7 = lim h→0
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