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Question Number 92798 by niroj last updated on 09/May/20

$$\mathrm{Find}\mathrm{the}\mathrm{value}\mathrm{of}\mathit{\theta }\mathrm{in}\mathrm{the}\mathrm{Mean}\mathrm{Value}$$$$\mathrm{Theorem}$$$$\mathrm{f}(\mathrm{x}+\mathrm{h})=\mathrm{f}\left(\mathrm{x}\right)+\mathrm{h}{\mathrm{f}}^{{}^{\prime }}(\mathrm{x}+\theta \mathrm{h})\mathrm{if}\mathrm{f}\left(\mathrm{x}\right)=\frac{1}{\mathrm{x}}.$$

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