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monotony of a function

awsomeman

New member
May 13, 2020
1
Let $f$ be differentiable from $(-\inf,0)$ to $(0,\inf)$ and let $f'(x)<0$ for all real numbers except 0 and $f'(0)=0$. Prove that f is strictly decreasing.
 

Joppy

Well-known member
MHB Math Helper
Mar 17, 2016
256
You might want to begin by stating the definition of a decreasing function. Then consider some examples.