Explanation Given: Function f ( x ) = 5 x 2 . Formula Used: Definition of derivative is stated as follows: f ′ ( x ) = lim h → 0 f ( x + h ) − f ( x ) h Calculation: Function is given as f ( x ) = 5 x 2 According to the definition of derivative, we have f ′ ( x ) = lim h → 0 5 ( x + h ) 2 − 5 x 2 h f ′ ( x ) = lim h → 0 5 ( x 2 + 2 x h + h 2 ) − 5 x 2 h f ′ ( x ) = lim h → 0 5

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 3, Problem 2FOT

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Show that f′(x)=10x for the function f(x)=5x2.

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Chapter 3, Problem 1FOT

Chapter 3, Problem 3FOT

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Chapter 3 Solutions

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Show that f ′ ( x ) = 10 x for the function f ( x ) = 5 x 2 .

Solution Summary: The author explains the function f(x)=5x 2. The definition of derivative is stated as follows:

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Show that f′(x)=10x for the function f(x)=5x2.

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Chapter 3 Solutions