Category: Differentiation

Question Number 158060 by zainaltanjung last updated on 30/Oct/21 Answered by puissant last updated on 30/Oct/21 $$1)$$$$\frac{dy}{dx}=2x+3;x=3\Rightarrow \frac{dy}{dx}=9$$$$2)$$$$\frac{{dy}}{{dx}}=\:\mathrm{12}{x}^{\mathrm{3}} +\mathrm{15}{x}^{\mathrm{2}} +\mathrm{1}\:;\:{x}=\mathrm{2}\:\Rightarrow\:\frac{{dy}}{{dx}}=\mathrm{157}…

Question Number 92510 by john santu last updated on 07/May/20 $$\frac{1}{{\mathrm{D}}^2+2}\left(\sin 2\mathrm{x}\right)?$$ Commented by john santu last updated on 08/May/20 $$\mathrm{consider}\:\mathrm{y}_{\mathrm{p}} \:=\:{x}\mathrm{sin}\:\mathrm{2}{x} \…

Question Number 26941 by Mr eaay last updated on 31/Dec/17 $$showthattherectangularsolidof$$$$naximumvolumethatcanbeinscribed$$$$intoasphereisacube$$ Answered by mrW1 last updated on 01/Jan/18 $${x}^{\mathrm{2}}…

Question Number 157952 by cortano last updated on 30/Oct/21 $$f\left(x\right)=x^{2014}+2x^{2013}+3x^{2012}+4x^{2011}+\dots +2014x+2015$$$$minf\left(x\right)=?$$ Answered by aleks041103 last updated on 31/Oct/21…

Question Number 26774 by NECx last updated on 29/Dec/17 $$Ifonesideofasquarereducesby$$$$10\mathrm{\%}andtheadjacentsideincreases$$$$by30\mathrm{\%}.Usingtheapplicationof$$$$differentiationfindthe\mathrm{\%}change$$$$intheareaofthesquare.$$ Commented by NECx last updated…