If f is the function whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x²). Use the graph of f to estimate the value of each derivative y 7- 5- 4 3 y= f(x) 2 1 1 2 4 6 7 (a) h'(2) (b) g'(2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
If f is the function whose graph is shown, let h(x)
f(f(x)) and g(x) = f(x²). Use the graph of f to estimate the value of each derivative.
y
7-
6
5
4
y= fx}
3
2
1
2
3
4
7
(a) h'(2)
(b) g'(2)
Transcribed Image Text:If f is the function whose graph is shown, let h(x) f(f(x)) and g(x) = f(x²). Use the graph of f to estimate the value of each derivative. y 7- 6 5 4 y= fx} 3 2 1 2 3 4 7 (a) h'(2) (b) g'(2)
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