Explanation The derivative of the function is basically the method to determine the rate of change of one value with respect to some other variable. Second derivative is the derivative of the derivative of a function. For example, Consider a function, f ( x ) = sin 2 x Derivative of the function is f ′ ( x ) = 2 cos 2 x . Then second derivative of the function is, f ″ ( x ) = − 4 sin 2 x f ″ ( x ) = − 4 f ( x ) Consider another example, f ( x ) = cos 2 x Derivative of the function is f ′ ( x ) = − 2 sin 2 x

Finite Mathematics and Application Calculus (Looseleaf) - Text Only

7th Edition

ISBN: 9781337291484

Author: Waner

Publisher: Cengage

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Chapter 16.2, Problem 76E

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The two examples of a function f(x) with the property that f″(x)=−4f(x).

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Chapter 16.2, Problem 75E

Chapter 16.2, Problem 77E

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Chapter 16 Solutions

Finite Mathematics and Application Calculus (Looseleaf) - Text Only

Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E Ch. 16.1 - Prob. 5E Ch. 16.1 - Prob. 6E Ch. 16.1 - Prob. 7E Ch. 16.1 - Prob. 8E Ch. 16.1 - Prob. 9E Ch. 16.1 - Prob. 10E

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The two examples of a function f ( x ) with the property that f ″ ( x ) = − 4 f ( x ) .

Solution Summary: The author explains that the derivative of a function is basically the method to determine the rate of change of one value with respect to some other variable.

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The two examples of a function f(x) with the property that f″(x)=−4f(x).

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Chapter 16 Solutions