(a) Explanation Given information : f ( x ) = 2 x − 3 x 3 Formula used : d d x ( u v ) = v ⋅ u ′ − u ⋅ v ′ v 2 Calculation : Differentiate function with respect to ‘ x’ , f ′ ( x ) = d d x ( 2 x − 3 x 3 ) = x 3 . d d x ( 2 x − 3 ) − ( 2 x − 3 ) (b) To determine To find : Derivative of f ( x ) . (c) To determine To find : Derivative of f ( x ) . (d) To determine To show : Part (a), Part (b) and Part (c) are same

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Question

Chapter 3.2, Problem 40PS

(a)

To determine

To find : Derivative of f(x) .

(b)

To determine

To find : Derivative of f(x) .

(c)

To determine

To find : Derivative of f(x) .

(d)

To determine

To show : Part (a), Part (b) and Part (c) are same

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Chapter 3.2, Problem 39PS

Chapter 3.2, Problem 41PS

Chapter 3 Solutions

Calculus

Ch. 3.1 - Prob. 1PS Ch. 3.1 - Prob. 2PS Ch. 3.1 - Prob. 3PS Ch. 3.1 - Prob. 4PS Ch. 3.1 - Prob. 5PS Ch. 3.1 - Prob. 6PS Ch. 3.1 - Prob. 7PS Ch. 3.1 - Prob. 8PS Ch. 3.1 - Prob. 9PS Ch. 3.1 - Prob. 10PS

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Derivative of f ( x ) .

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To find : Derivative of f(x) .

To find : Derivative of f(x) .

To find : Derivative of f(x) .

To show : Part (a), Part (b) and Part (c) are same

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Chapter 3 Solutions