Explanation Given: The function, f ( x ) = tan 2 x . Concept Used: The composition function f ∘ g can be found by replacing x by g ( x ) in the function f ( x ) Calculation: In order to express the given function f ( x ) = tan 2 x as the composition of two functions u and g, such that f ( x ) = g ( u ) , we will identify the inner function as u and the outer function as g

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Chapter 1.4, Problem 34PS

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To write thefunctions f(x)=tan2x as the composition of two functions u and g, such that f(x)=g(u) , where u is a function of x.

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Chapter 1.4, Problem 33PS

Chapter 1.4, Problem 35PS

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. Let ƒ be a function and all we know about it is (a) The derivative of f is equal to the derivative of x³ for all real numbers, and (b) ƒ (2) = 10. Find a formula for f (x).

Chapter 1 Solutions

Calculus

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To write thefunctions f ( x ) = tan 2 x as the composition of two functions u and g, such that f ( x ) = g ( u ) , where u is a function of x.

Solution Summary: The author explains how to write the functions f(x)=mathrmtan2x as the composition of two functions u and g.

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To write thefunctions f(x)=tan2x as the composition of two functions u and g, such that f(x)=g(u) , where u is a function of x.

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Chapter 1 Solutions