Question
If $f$ has a local minimum value at $c,$ show that the function $g(x)=-f(x)$ has a local maximum value at $c .$
Step 1
This means that $f(c)$ is less than or equal to any other value of $f$ in a neighborhood of $c$. Mathematically, this can be written as: \[f(c) \leq f(x) \quad \text{for all } x \text{ in a neighborhood of } c.\] Show more…
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