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Question Number 133589 by benjo_mathlover last updated on 23/Feb/21

$$\mathrm{For}\mathrm{all}\mathrm{real}\mathrm{number}\mathrm{f}\mathrm{is}\mathrm{given}\mathrm{by}$$ $$\mathrm{f}\left(\mathrm{x}\right)=\{\begin{array}{l}{\mathrm{e}}^{\mathrm{x}}+\mathrm{m}\sin \mathrm{x},\mathrm{if}\mathrm{x}<0\\ \mathrm{n}{(\mathrm{x}-1)}^2+\mathrm{x}-2,\mathrm{if}\mathrm{x}⩾0\end{array}$$ $$\mathrm{what}\mathrm{the}\mathrm{value}\mathrm{m}\mathrm{and}\mathrm{n}\mathrm{is}\mathrm{f}$$ $$\mathrm{differentiable}\mathrm{at}\mathrm{x}=0?$$

Answered by benjo_mathlover last updated on 23/Feb/21

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