Suppose that g(x) = f(x) – f(x³) for some function f (x). (a) Find g' (x) in terms of f and f'. Show your calculations, and list the rules you are using. (b) Supposing g' (1) = 6, compute f'(1). (c) Supposing g' (2) = 4, can you find f' (2)? Why or why not?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that g(x) = f(x) – f(x*) for some function f (x).
(a)
Find g' (x) in terms of f and f'. Show your calculations, and list the rules you are
using.
(b)
Supposing g' (1) = 6, compute f'(1).
(c)
Supposing g' (2) = 4, can you find f' (2)? Why or why not?
Transcribed Image Text:Suppose that g(x) = f(x) – f(x*) for some function f (x). (a) Find g' (x) in terms of f and f'. Show your calculations, and list the rules you are using. (b) Supposing g' (1) = 6, compute f'(1). (c) Supposing g' (2) = 4, can you find f' (2)? Why or why not?
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