Question

If $f$ has a minimum value at $c,$ show that the function $g(x)=-f(x)$ has a maximum value at $c .$

          If $f$ has a minimum value at $c,$ show that the function $g(x)=-f(x)$ has a maximum value at $c .$
        

Added by Robert W.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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If $f$ has a minimum value at $c,$ show that the function $g(x)=-f(x)$ has a maximum value at $c .$
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Transcript

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00:01 Okay, so by assumption, f has a minimum at x equals c.
00:08 Now this assertion here is equivalent to what? well, this assertion is equivalent to f of x greater than or equal to f of c for every x belonging to the domain of f...
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