Category: Differentiation

Question Number 204878 by mnjuly1970 last updated on 29/Feb/24 $$$$$$provethat:$$$$$$$$\sqrt[4]{e}<{\int }_0^1{e}^{t^2}dt<\frac{1+e}{2}$$ Answered by witcher3…

Question Number 204372 by mnjuly1970 last updated on 14/Feb/24 $$$$$$If,f:[0,b]\stackrel{continuous}{\to }\mathbb{R}$$$$,g:\mathbb{R}\underset{b-periodic}{\stackrel{continuous}{\to }}\mathbb{R}$$$$\:\:\:\:\:\:\Rightarrow\:\:{lim}_{{n}\rightarrow\infty} \:\int_{\mathrm{0}} ^{\:{b}} {f}\left({x}\right){g}\left({nx}\right){dx}\overset{?} {=}\frac{\mathrm{1}}{{b}}\:\int_{\mathrm{0}} ^{\:{b}} {f}\left({x}\right){dx}\:.\int_{\mathrm{0}}…

Question Number 203063 by LowLevelLump last updated on 09/Jan/24 Answered by MM42 last updated on 09/Jan/24 $$f^{\prime }=e^x-a=0\Rightarrow \alpha =lna$$$$\Rightarrow minf=a-alna$$$$g^{\prime }=a-\frac{1}{x}=0\Rightarrow \beta =\frac{1}{a}$$$$\Rightarrow{ming}=\mathrm{1}+{lna} \…

Question Number 201940 by Calculusboy last updated on 15/Dec/23 $${\mathit{t}\mathit{a}\mathit{n}}^3({\mathit{x}\mathit{y}}^2+\mathit{y})=\mathit{x}\mathit{f}\mathit{i}\mathit{n}\mathit{d}\frac{\mathit{d}\mathit{y}}{\mathit{d}\mathit{x}}$$ Answered by cortano12 last updated on 16/Dec/23 $$\:\:\Rightarrow\frac{\mathrm{d}}{\mathrm{dx}}\:\left[\:\mathrm{tan}\:^{\mathrm{3}} \left(\mathrm{xy}^{\mathrm{2}} +\mathrm{y}\right)\:\right]\:=\:\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{x}\right) \…

Question Number 201275 by ndr last updated on 03/Dec/23 Terms of Service Privacy Policy Contact: info@tinkutara.com