Category: Differentiation

Question Number 211365 by JuniorKepler last updated on 06/Sep/24 Answered by mr W last updated on 07/Sep/24 $$\frac{{(x+y)}^p{(x+y)}^q}{x^p{y}^q}=1$$$$\left(\mathrm{1}+\frac{{y}}{{x}}\right)^{{p}} \left(\mathrm{1}+\frac{{x}}{{y}}\right)^{{q}}…

Question Number 210702 by depressiveshrek last updated on 17/Aug/24 $$\mathrm{How}\mathrm{many}\mathrm{real}\mathrm{solutions}\mathrm{does}\mathrm{the}$$$$\mathrm{equation}x=\sin 3x\mathrm{have}?$$ Answered by Frix last updated on 17/Aug/24 $$x=\sin 3x$$$${t}=\mathrm{3}{x} \…

Question Number 209924 by OmoloyeMichael last updated on 26/Jul/24 $$\mathit{I}\mathit{f}\mathit{f}\left(\mathit{x}\right)=(\mathit{x}!)\cdot (\mathit{x}!!)\cdot (\mathit{x}!!!)$$$$\mathit{f}\mathit{i}\mathit{n}\mathit{d}\frac{\mathit{d}}{\mathit{d}\mathit{x}}\left(\mathit{f}\left(\mathit{x}\right)\right)=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 209308 by Erico last updated on 06/Jul/24 $$\mathrm{Donner}{\mathrm{l}}^{\prime }\acute{\mathrm{e}quivalence}\mathrm{simple}$$$$\mathrm{de}{\mathrm{I}}_{\mathrm{n}}={\underset{0}{\int }}^1\frac{t^n}{t^n-t+1}dt$$ Answered by mathzup last updated…

Question Number 209229 by Tawa11 last updated on 04/Jul/24 Commented by klipto last updated on 06/Jul/24 $$\mathbf{take}\mathbf{in}\mathbf{of}\mathbf{both}\mathbf{side}$$$$1.\mathbf{iny}={\mathbf{e}}^{\mathbf{x}}\mathbf{inx}$$$$\frac{\mathbf{d}\left(\mathbf{iny}\right)}{\mathbf{dx}}=\mathbf{v}\frac{\mathbf{du}}{\mathbf{dx}}+\mathbf{u}\frac{\mathbf{dv}}{\mathbf{dx}}$$$$\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}}\:\frac{\boldsymbol{\mathrm{dy}}}{\boldsymbol{\mathrm{dx}}}=\boldsymbol{\mathrm{e}}^{\boldsymbol{\mathrm{x}}} \boldsymbol{\mathrm{inx}}+\frac{\mathrm{e}^{\mathrm{x}}…