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Category: Differentiation

it-is-necessary-for-diffrentiable-function-itmust-becontinuty-why-and-how-please-explain-by-example-

Question Number 2219 by tabrez8590@gmail last updated on 09/Nov/15 $${it}\:{is}\:{necessary}\:{for}\:{diffrentiable}\:\:{function}\:{itmust}\:{becontinuty}\:{why}?{and}\:{how}\:{please}\:{explain}\:{by}\:{example} \\ $$$$ \\ $$ Answered by Filup last updated on 09/Nov/15 $$\mathrm{if}\:\begin{cases}{{y}={x}\:\:\:\mathrm{if}\:{x}>\mathrm{0}}\\{{y}=−{x}\:\:\:\mathrm{if}\:{x}<\mathrm{0}}\end{cases} \\ $$$$ \\…

given-that-f-x-mx-2-4-3-x-n-x-2-1-and-f-max-7-f-min-1-find-the-value-of-m-and-n-

Question Number 133179 by abdullahquwatan last updated on 19/Feb/21 $$\mathrm{given}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{mx}^{\mathrm{2}} +\mathrm{4}\sqrt{\mathrm{3}}\mathrm{x}+\mathrm{n}}{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\:\mathrm{and}\:\mathrm{f}\:\mathrm{max}=\mathrm{7} \\ $$$$\mathrm{f}\:\mathrm{min}=−\mathrm{1}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{m}\:\mathrm{and}\:\mathrm{n} \\ $$ Commented by abdullahquwatan last updated on 20/Feb/21 $$\mathrm{thx} \\…

f-x-1-f-x-1-f-x-

Question Number 2071 by Rasheed Soomro last updated on 01/Nov/15 $$\left\{\:\left[{f}\left({x}\right)\right]^{−\mathrm{1}} \right\}'\:=\left[\:{f}\:'\left({x}\right)\:\right]^{−\mathrm{1}} \\ $$$${f}\left({x}\right)=? \\ $$ Commented by Yozzi last updated on 01/Nov/15 $$\frac{{d}}{{dx}}\left(\frac{\mathrm{1}}{{f}\left({x}\right)}\right)=\frac{\mathrm{1}}{{f}^{'} \left({x}\right)}…