Category: Differentiation

Question Number 92182 by mhmd last updated on 05/May/20 Commented by mr W last updated on 05/May/20 $$whyrepeatQ92114?$$ Commented by mhmd last updated…

Question Number 92114 by mhmd last updated on 04/May/20 Answered by mr W last updated on 05/May/20 $$u=y^{\prime }$$$$u\frac{du}{dy}+3y^{2}u=0$$$$\Rightarrow u=0\Rightarrow \frac{dy}{dx}=0\Rightarrow y=C$$$$\Rightarrow\frac{{du}}{{dy}}+\mathrm{3}{y}^{\mathrm{2}}…

Question Number 92041 by mhmd last updated on 04/May/20 $$solve:[2{yy}^{″}=1+{\left(y^{\prime }\right)}^2]ify\left(0\right)=2,y^{\prime }\left(0\right)=-1$$$$$$ Answered by mr W last updated on 04/May/20 $$\left({see}\:{also}\:{Q}\mathrm{92040}\right) \…

Question Number 26447 by yesaditya22@gmail.com last updated on 25/Dec/17 Commented by kaivan.ahmadi last updated on 25/Dec/17 $$\mathrm{y}=\mathrm{x}^{\mathrm{x}^{\mathrm{x}} } \Rightarrow\mathrm{lny}=\mathrm{x}^{\mathrm{x}} \mathrm{lnx}\Rightarrow\frac{\mathrm{y}^{'} }{\mathrm{y}}=\left(\mathrm{x}^{\mathrm{x}} \right)^{'} \mathrm{lnx}+\frac{\mathrm{x}^{\mathrm{x}} }{\mathrm{x}}\Rightarrow \…

Question Number 26288 by sakshiraj@gmail.com last updated on 23/Dec/17 $$\frac{\mathit{d}}{\mathit{d}\mathit{x}}\frac{\mathit{x}-4}{2\sqrt{\mathit{x}}}$$ Answered by Joel578 last updated on 24/Dec/17 $$\mathrm{Use}\mathrm{quotient}\mathrm{rule}$$$$u=x-4\to u^{\prime }=1$$$${v}\:=\:\mathrm{2}\sqrt{{x}}\:\:\:\:\:\:\rightarrow\:\:{v}'\:=\:\frac{\mathrm{1}}{\:\sqrt{{x}}} \…