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Theorem: Constant Multiple Property If y = f(x) = k· u(x), where k is a real number and u(x) is a function, then the derivative is Of'(x) = k + u'(x) ○ f'(x) = k-u' (x) ○ f'(x) = k· u(x)k-1 ○ f'(x) = 0

Theorem: Constant Multiple Property If y = f(x) = k· u(x), where k is a real number and u(x) is a function, then the derivative is Of'(x) = k + u'(x) ○ f'(x) = k-u' (x) ○ f'(x) = k· u(x)k-1 ○ f'(x) = 0

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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Theorem: Constant Multiple Property If y = f(x) = k· u(x), where k is a real number and u(x) is a function, then the derivative is O f'(x) = k'+u'(x) ○ f'(x) = k-u' (x) ○ f'(x) = k· u(x)k-1 ○ f'(x) = 0
Transcribed Image Text:Theorem: Constant Multiple Property If y = f(x) = k· u(x), where k is a real number and u(x) is a function, then the derivative is O f'(x) = k'+u'(x) ○ f'(x) = k-u' (x) ○ f'(x) = k· u(x)k-1 ○ f'(x) = 0
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