Explanation Given data: y The chain rule in calculus. The chain rule in calculus is formula to compute the derivative of a composite function. Let f be a function of another function gwhich is function of variable x , i.e., g = g ( x ) and f = f ( g ( x ) ) then the derivative of composite function f = f ( g ( x ) ) or ( f o g ( x ) ) is given as ( f o g ( x ) ) ′ = f ′ ( g ) ⋅ g ′ ( x ) that is known as chain rule of differentiation. Let y be function of x , i.e., y = f ( x ) and x is a function of t , i.e., x = x ( t ) then the derivative of y with respect to t is given by d y d t = ( f o x ) ′ ( t ) = d y d x ⋅ d x d t

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Chapter 3 Solutions

Calculus

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The chain rule of differentiation in calculus.

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Chapter 3 Solutions