Explanation The chain rule of differentiation states that the derivative of the composite functions ( f ∘ g ) x is f ′ ( g ( x ) ) g ′ ( x ) , where f ( x ) and g ( x ) are differentiable. The chain rule is used to find the derivative of the composite functions in which both functions must be differentiable. The function cos 3 x is a composite function as f ( g ( x ) ) in which f ( x ) = cos 3 x and g ( x ) = 3 x

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 3, Problem 9PE

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Chapter 3 Solutions

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The definition of chain rule.

Solution Summary: The author explains the chain rule of differentiation, which states that the derivative of the composite functions (fcirc g)x is differentiable.

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Chapter 3 Solutions