Category: Differentiation

Question Number 117486 by Canovas last updated on 12/Oct/20 Answered by john santu last updated on 12/Oct/20 $$\frac{dy}{dx}=2x.\left(2^y\right)+x^2.\ln \left(2\right).2^y\frac{dy}{dx}$$$$\left(\mathrm{1}−\mathrm{ln}\:\left(\mathrm{2}\right){x}^{\mathrm{2}} .\mathrm{2}^{{y}} \right)\frac{{dy}}{{dx}}\:=\:\mathrm{2}{x}.\mathrm{2}^{{y}}…

Question Number 117470 by TANMAY PANACEA last updated on 11/Oct/20 $$\frac{d}{dx}{sin}^{-1}\left(\frac{2x}{1+x^2}\right)atx=1$$ Commented by TANMAY PANACEA last updated on 12/Oct/20 $${thank}\:{you}\:{sir} \…

Question Number 117344 by bemath last updated on 11/Oct/20 Commented by bemath last updated on 11/Oct/20 $$\mathrm{yes}\mathrm{sir}.\mathrm{i}\mathrm{think}\mathrm{this}\mathrm{question}$$$$\mathrm{wrong}$$ Commented by bemath last…

Question Number 117280 by mnjuly1970 last updated on 10/Oct/20 $$$$$$\dots advancedcalculus\dots$$$$$$$$provethat::$$$$$$$${\int }_0^{1}ln\left(\mathrm{\Gamma }\left(x\right)\right).{cos}^2\left(\pi x\right)dx$$$$…

Question Number 117216 by bobhans last updated on 10/Oct/20 $$\underset{0}{\stackrel{\pi /2}{\int }}\frac{\mathrm{dx}}{\sqrt{\sin \mathrm{x}}}=?$$$$$$ Answered by TANMAY PANACEA last updated on 10/Oct/20 $$\mathrm{2}\int_{\mathrm{0}}…