Functions f(x) and g(x) and their first and second derivatives evaluated at x = 1 are listed as follows: ƒ(1) : =−1, ƒ'(1)=-4, ƒ"(1) = −14 g(1) = 1, g′(1)=3, g″(1) = 6 Which one of the following is the derivative of h(x) = f'(x) f(g(x)) at x = 1 ? Select one alternative: Oh' (1) = 28 ○ h' (1) = 1 ○ h' (1) = -34 7 ○ h' (1) 6 =
Functions f(x) and g(x) and their first and second derivatives evaluated at x = 1 are listed as follows: ƒ(1) : =−1, ƒ'(1)=-4, ƒ"(1) = −14 g(1) = 1, g′(1)=3, g″(1) = 6 Which one of the following is the derivative of h(x) = f'(x) f(g(x)) at x = 1 ? Select one alternative: Oh' (1) = 28 ○ h' (1) = 1 ○ h' (1) = -34 7 ○ h' (1) 6 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Functions f(x) and g(x) and their first and second derivatives evaluated at x = 1 are listed as follows:
f(1) = −1, ƒ'(1) = −4, ƒ"(1) = −14
g(1) = 1, gʻ(1)=3, g″(1) = 6
Which one of the following is the derivative of h(x)
f'(x)
f(g(x))
at x = 1 ?
Select one alternative:
Oh' (1) = 28
○ h' (1) = 1
h' (1) = -34
Oh' (1)
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