For example, an antiderivative for y = 2x is x² + 5 because (x² + 5) = 2x = y. However, the antiderivative of f(x) for any given function is NOT unique. Because if we add any constant to the antiderivative of f(x), we can still get f(x) when we differentiate it. (a) Give one antiderivative of f(x) = 17: (b) Differentiate your answer in (a) to show that the antiderivative of your answer is indeed 2 ²+8r+17'

For example, an antiderivative for y = 2x is x² + 5 because (x² + 5) = 2x = y. However, the antiderivative of f(x) for any given function is NOT unique. Because if we add any constant to the antiderivative of f(x), we can still get f(x) when we differentiate it. (a) Give one antiderivative of f(x) = 17: (b) Differentiate your answer in (a) to show that the antiderivative of your answer is indeed 2 ²+8r+17'

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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