4. If A andB are differentiable functions of a scalar u, prove that (А В) — А В du d (a) dA B du du d (b) (Ах В) — А х dB du dA du x B du

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. If A andB are differentiable functions of a scalar u, prove that
du (A B) = A. dB
du
d
(a)
dA
du
B
d.
(Ъ)
(A × B) = A × dB
du
dA
du
Transcribed Image Text:4. If A andB are differentiable functions of a scalar u, prove that du (A B) = A. dB du d (a) dA du B d. (Ъ) (A × B) = A × dB du dA du
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