Explanation It is given that, the third derivative is f ‴ ( t ) = cos t . Integrate the function f ‴ ( t ) = cos t as, ∫ ( cos t ) d t = sin t + C Once again integrate sin t + C as, ∫ ( sin t + C ) d t = ∫ sin t d t + ∫ C d t = − cos t + C t + D Again integrate − cos t + C t + D as, Ȣ

Essential Calculus: Early Transcendentals

2nd Edition

ISBN: 9781133112280

Author: James Stewart

Publisher: Cengage Learning

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Chapter 4.7, Problem 21E

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The antiderivative of the function f‴(t)=cost.

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Chapter 4.7, Problem 20E

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Chapter 4 Solutions

Essential Calculus: Early Transcendentals

Ch. 4.1 - Explain the difference between an absolute minimum...Ch. 4.1 - Suppose f is a continuous function defined on a...Ch. 4.1 - For each of the numbers a, b, c, d, r, and s,...Ch. 4.1 - For each of the numbers a, b, c, d, r, and s,...Ch. 4.1 - Use the graph to state the absolute and local...Ch. 4.1 - Use the graph to state the absolute and local...Ch. 4.1 - Sketch the graph of a function f that is...Ch. 4.1 - 710 Sketch the graph of a function f that is...Ch. 4.1 - 710 Sketch the graph of a function f that is...Ch. 4.1 - 710 Sketch the graph of a function f that is...

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The antiderivative of the function f ‴ ( t ) = cos t .

Solution Summary: The author explains the antiderivative of the function f′′′(t)=mathrmcost.

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The antiderivative of the function f‴(t)=cost.

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