Question Number 166813 by mathocean1 last updated on 28/Feb/22 $${f}\left({x}\right)={x}^{\mathrm{2}{n}} \\ $$$${Determinate}\:{f}^{\left({n}\right)} \left({x}\right) \\ $$ Answered by TheSupreme last updated on 28/Feb/22 $${f}'\left({x}\right)=\alpha{x}^{\alpha−\mathrm{1}} \\ $$$${f}^{\left({k}\right)}…
Question Number 35743 by mondodotto@gmail.com last updated on 22/May/18 $$\boldsymbol{\mathrm{find}}\:\boldsymbol{{x}} \\ $$$$\boldsymbol{\mathrm{log}}\left(\boldsymbol{\mathrm{log}}\mathrm{2}+\boldsymbol{\mathrm{log}}_{\mathrm{2}} \left(\boldsymbol{{x}}+\mathrm{1}\right)\right)=\mathrm{0} \\ $$ Commented by prof Abdo imad last updated on 25/May/18 $${if}\:{log}\:{mean}\:{ln}\:\:\left({e}\right)\Leftrightarrow\:{ln}\left(\mathrm{2}\right)\:+{ln}_{\mathrm{2}}…
Question Number 101278 by MJS last updated on 01/Jul/20 $$\mathrm{Did}\:\mathrm{I}\:\mathrm{miss}\:\mathrm{some}\:\mathrm{updates}? \\ $$$$\mathrm{Do}\:\mathrm{we}\:\mathrm{get}\:\mathrm{a}\:\mathrm{prize}\:\mathrm{or}\:\mathrm{at}\:\mathrm{least}\:\mathrm{an}\:\mathrm{award}\:\mathrm{for}\:\mathrm{the} \\ $$$$\mathrm{fastest}\:\mathrm{answer}?\:\mathrm{Or}\:\mathrm{for}\:\mathrm{the}\:“\mathrm{best}'',\:\mathrm{or}\:\mathrm{for}\:\mathrm{the} \\ $$$$\mathrm{most}\:\mathrm{sophisticated}\:\mathrm{answer}?\:\mathrm{Or}\:\mathrm{for}\:\mathrm{using}\:\mathrm{the} \\ $$$$\mathrm{largest}\:\mathrm{font}\:\mathrm{size}\:\mathrm{and}\:\mathrm{the}\:\mathrm{brightest}\:\mathrm{colour}? \\ $$$$\mathrm{Annoying}\:\mathrm{developments}… \\ $$ Commented by MJS…
Question Number 166814 by mathocean1 last updated on 28/Feb/22 $${f}\left({x}\right)={x}^{{n}} {e}^{−{nx}} \\ $$$${Determinate}\:{f}^{\left({n}\right)} \left({x}\right). \\ $$ Answered by TheSupreme last updated on 28/Feb/22 $${f}\left({x}\right)=\left({xe}^{−{x}} \right)^{{n}}…
Question Number 166812 by mathocean1 last updated on 28/Feb/22 $${f}\left({x}\right)={e}^{{nx}} {cos}\left({x}\right). \\ $$$${Determinate}\:{f}^{\left({n}\right)} \left({x}\right). \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 166805 by mathocean1 last updated on 28/Feb/22 $${f}\left({x}\right)=\frac{{x}}{\mathrm{1}+\mid{x}\mid}. \\ $$$${show}\:{that}\:\exists\:{K}\:\in\:\mathbb{R}_{+} \:{such}\:{that} \\ $$$$\forall\:{x},\:{y}\:\in\:\mathbb{R},\:\mid{f}\left({x}\right)−{f}\left({y}\right)\mid\leqslant{K}\mid{x}−{y}\mid \\ $$ Answered by TheSupreme last updated on 28/Feb/22 $${f}'\left({x}\right)=\frac{\mathrm{1}+\mid{x}\mid−\mid{x}\mid}{\left(\mathrm{1}+\mid{x}\mid\right)^{\mathrm{2}}…
Question Number 166801 by mathocean1 last updated on 28/Feb/22 $${Calculate}: \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\frac{{x}−\sqrt{{x}}}{\:\sqrt[{\mathrm{3}}]{{sin}\left({x}\right)−{tan}^{\mathrm{2}} \left({x}\right)}} \\ $$ Commented by cortano1 last updated on 28/Feb/22 $$\:\underset{{x}\rightarrow\mathrm{0}^{+} }…
Question Number 166797 by muneer0o0 last updated on 28/Feb/22 $$\:\int\frac{\sqrt{{x}+\sqrt{{x}}}}{\:\sqrt{{x}+\mathrm{1}}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 166793 by leicianocosta last updated on 28/Feb/22 Answered by Rasheed.Sindhi last updated on 28/Feb/22 $$\mathrm{r}=\mathrm{a}+\mathrm{2}=\mathrm{b}+\mathrm{9} \\ $$$$\mathrm{a}=\mathrm{r}−\mathrm{2}\:,\:\mathrm{b}=\mathrm{r}−\mathrm{9} \\ $$$$\mathrm{diagonal}^{\mathrm{2}} =\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} =\mathrm{r}^{\mathrm{2}} \\…
Question Number 101248 by bachamohamed last updated on 01/Jul/20 $$\:\:\:\underset{\boldsymbol{{p}}\in\boldsymbol{{P}}/\left(\mathrm{2}..\mathrm{3}\right)} {\prod}\left(\frac{\mathrm{1}}{\boldsymbol{{p}}}\right)^{\mathrm{2}} =?\:\:\:\:\:\boldsymbol{{p}}\:{is}\:{prime}\:{number} \\ $$$${Any}\:{help}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com