Explanation Given: The function is f ( x ) = 3 x 2 + 1 Concept Used: Chain rule of differentiation is: d d x f [ g ( x ) ] = d d g f ( g ) d g d x , where u is a differentiable function at x and f is a differentiable function at u ( x ) d d x x n = n x n − 1 Calculation: Consider the given function. f ( x ) = 3 x 2 + 1 Now, f ∘ f ( x ) can be found as shown below. f ∘ f ( x ) = f ( f ( x ) ) Differentiate both side of the equation with respect to x as d d x ( f ∘ f ( x ) ) = d d x [ f ( f ( x

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Chapter 5, Problem 39CRP

To determine

To find derivative of the function f∘f(x) .

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Chapter 5, Problem 38CRP

Chapter 5, Problem 40CRP

Chapter 5 Solutions

Calculus

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To find derivative of the function f ∘ f ( x ) .

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To find derivative of the function f∘f(x) .

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Chapter 5 Solutions