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For a differentiable function $$f$$ on interval $$I$$:
- Non-increasing (weakly decreasing) if $$f'(x)\le 0\quad\forall x\in I$$.
- Strictly decreasing if $$f'(x)\lt 0\quad\forall x\in I$$.
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For a differentiable function $$f$$ on interval $$I$$:
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