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Suppose g(x) = f(x) dx. Which of the following identities is TRUE? d dx d - g(e) = f(e²) e¹ dx g(cos x) = f(cos x) sin x O d dx g(sin x) = (ƒ(sin x) + C) cos x, where C' is a constant. None of these identities are TRUE. d g(x) = f(x) + C, where C is a constant. dx

Suppose g(x) = f(x) dx. Which of the following identities is TRUE? d dx d - g(e) = f(e²) e¹ dx g(cos x) = f(cos x) sin x O d dx g(sin x) = (ƒ(sin x) + C) cos x, where C' is a constant. None of these identities are TRUE. d g(x) = f(x) + C, where C is a constant. dx

Advanced Engineering Mathematics
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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Suppose g(x) = f(x) dx. Which of the following identities is TRUE? d dx d dx g(cos x) = f(cos x) sin x · g(e) = f(e)e d g(sin x) = (f(sin x) + C) cos x, where C' is a constant. dx None of these identities are TRUE. d g(x) = f(x) + C, where C' is a constant. dx
Transcribed Image Text:Suppose g(x) = f(x) dx. Which of the following identities is TRUE? d dx d dx g(cos x) = f(cos x) sin x · g(e) = f(e)e d g(sin x) = (f(sin x) + C) cos x, where C' is a constant. dx None of these identities are TRUE. d g(x) = f(x) + C, where C' is a constant. dx
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