(d) Show 1. Given the following table of values, find the indicated rivatives in parts (a) and (b). X 28 f(x) f'(x) 1 7 5 -3 loc nive ow (a) g'(2), where g(x) = [f(x)]³ (h) h(2), where h(x) = f(x³)

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 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...
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16
(b)
(c) Find f'(x)
(d) Show that f' is not continuous at x = 0.
71. Given the following table of values, find the indicated d
rivatives in parts (a) and (b).
nive
olvo oy
X
2
8
f(x)
1
5
f'(x)
7
-3
GALT
(a) g'(2), where g(x) = [f(x)]³
(b) h'(2), where h(x) = f(x³)
10
+
-
77 Given that f'(x) = √3x + 4 and g(x) = x² − 1, find F
Transcribed Image Text:16 (b) (c) Find f'(x) (d) Show that f' is not continuous at x = 0. 71. Given the following table of values, find the indicated d rivatives in parts (a) and (b). nive olvo oy X 2 8 f(x) 1 5 f'(x) 7 -3 GALT (a) g'(2), where g(x) = [f(x)]³ (b) h'(2), where h(x) = f(x³) 10 + - 77 Given that f'(x) = √3x + 4 and g(x) = x² − 1, find F
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