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If $f$ has a local minimum value at $c$, show that the function $ g(x) = - f(x) $ has a local maximum value at $c$.
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01:07
Wen Zheng
Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 1
Maximum and Minimum Values
Derivatives
Differentiation
Volume
Harvey Mudd College
Baylor University
University of Nottingham
Boston College
Lectures
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A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.
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okay, We know that the derivative of negative FX is negative to the original parent function, which is FX. Therefore, we know the local maximum is a point in this context, and we know it's the point where the function changes from increasing to decreasing and the local minima, by contrast, is where function changes from decreasing to increasing. We know the function is decreasing before X equal, see and increasing just after x equal. See, we know that increasing and decreasing behaviors opposite. Therefore, we note there Haas to be a local maximum at X equal, see
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