Question Number 161369 by mnjuly1970 last updated on 17/Dec/21 $$ \\ $$$$\:\:\:\:\:\mathrm{D}{etermine}\:{the}\:{value}\:{of}\:{the}\:{following} \\ $$$$\:\:\:\:\:\:\:{proposition}\:.\:\left(\:\:\mathrm{T}{rue}\:\:{or}\:\:\mathrm{F}{alse}\:\right) \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\exists\:{x}\:\in\:\mathbb{R}\:;\:\:\begin{vmatrix}{\:\mathrm{1}+\mathrm{2}{x}}&{\:\mathrm{2}{x}}&{\mathrm{2}{x}}\\{\:\:\mathrm{2}{x}}&{\:\mathrm{1}+\mathrm{2}{x}}&{\:\mathrm{2}{x}\:}\\{\:\:\mathrm{2}{x}}&{\:\mathrm{2}{x}}&{\mathrm{1}\:+\mathrm{2}{x}}\end{vmatrix}=\:{x}^{\:\mathrm{3}} +\:\mathrm{8}{x}−\mathrm{2}\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:−−−−−−−−− \\ $$$$\:\:\: \\ $$…
Question Number 161311 by CM last updated on 15/Dec/21 $${Differentiate}\:{y}=\mathrm{sin}\:{xy} \\ $$ Answered by mr W last updated on 15/Dec/21 $$\frac{{dy}}{{dx}}=\mathrm{cos}\:\left({xy}\right)\left({y}+{x}\frac{{dy}}{{dx}}\right) \\ $$$$\Rightarrow\frac{{dy}}{{dx}}=\frac{{y}\:\mathrm{cos}\:\left({xy}\right)}{\mathrm{1}−{x}\:\mathrm{cos}\:\left({xy}\right)} \\ $$…
Question Number 30244 by amit96 last updated on 19/Feb/18 $${if}\:{f}^{−\mathrm{1}} \:{exists}\:{and}\:{f}\:{is}\:{differentiable}\:{on}\:{R}\:,{the}\:{f}^{−\mathrm{1}} \:{is}\:{also}\:{differentiable}.\left({T}/{F}\right) \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 95760 by M±th+et+s last updated on 27/May/20 $$\frac{{d}}{{d}\left({x}\right)}\left({W}\left({x}\right)\right)=? \\ $$$$\:{W}\left({x}\right)\:{is}\:{lambert}\:{W}\:{function} \\ $$ Answered by prakash jain last updated on 27/May/20 $$\mathrm{Do}\:\mathrm{you}\:\mathrm{mean}\:{W}_{\mathrm{0}} \left({x}\right)\:\mathrm{by}\:{W}\left({x}\right)? \\…
Question Number 30188 by abdo imad last updated on 17/Feb/18 $$\:{solve}\:{x}^{\mathrm{3}} \left({x}^{\mathrm{2}} \:+\mathrm{1}\right){y}^{'} \:−\mathrm{2}{xy}\:=\mathrm{0} \\ $$ Commented by mrW2 last updated on 17/Feb/18 $${x}^{\mathrm{3}} \left({x}^{\mathrm{2}}…
Question Number 30187 by abdo imad last updated on 17/Feb/18 $${solve}\:{xy}^{'} \:−\mathrm{2}{y}\:=\:{x}^{\mathrm{4}} \:. \\ $$ Answered by ajfour last updated on 18/Feb/18 $$\frac{{dy}}{{dx}}−\left(\frac{\mathrm{2}}{{x}}\right){y}={x}^{\mathrm{3}} \\ $$$${e}^{−\int\frac{\mathrm{2}}{{x}}{dx}}…
Question Number 30186 by abdo imad last updated on 17/Feb/18 $${solve}\:{x}^{\mathrm{2}} {y}^{''} \:−\mathrm{2}{y}\:={x} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 161209 by CM last updated on 14/Dec/21 $${Differentiate}\:{y}={e}^{−{x}^{\mathrm{2}} } \\ $$ Commented by cortano last updated on 14/Dec/21 $$\:\Leftrightarrow\mathrm{ln}\:{y}=−{x}^{\mathrm{2}} \\ $$$$\Leftrightarrow\frac{{y}'}{{y}}\:=\:−\mathrm{2}{x}\: \\ $$$$\Leftrightarrow\:{y}'\:=\:−\mathrm{2}{x}\:{e}^{−{x}^{\mathrm{2}}…
Question Number 30123 by tawa tawa last updated on 16/Feb/18 $$\mathrm{find}\:\mathrm{the}\:\mathrm{convergence}\:\mathrm{or}\:\mathrm{divergence}\:\:\:\:\:\underset{\mathrm{n}\:=\:\mathrm{1}} {\overset{\infty} {\sum}}\:\left(\frac{\mathrm{n}\:−\:\mathrm{1}}{\mathrm{n}}\right) \\ $$ Commented by prof Abdo imad last updated on 16/Feb/18 $${let}\:{put}\:{S}_{{n}}…
Question Number 95644 by Ar Brandon last updated on 26/May/20 $$\mathrm{If}\:\mathrm{f}\:\mathrm{is}\:\mathrm{derivable}\:\mathrm{at}\:\mathrm{x}_{\mathrm{0}} ,\:\mathrm{show}\:\mathrm{that}\:\underset{\mathrm{x}\rightarrow\mathrm{x}_{\mathrm{0}} } {\mathrm{lim}f}\left(\mathrm{x}\right)=\mathrm{f}\left(\mathrm{x}_{\mathrm{0}} \right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com