Question Number 156617 by mnjuly1970 last updated on 13/Oct/21 Answered by mindispower last updated on 14/Oct/21 $${e}^{−{x}} ={t} \\ $$$$=\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{ln}\left(\mathrm{1}+{t}\right)\left(\mathrm{1}−{t}\right)}{\mathrm{1}+{t}}.\frac{{dt}}{{t}} \\ $$$$=\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 25528 by Mahesh Andiboina last updated on 11/Dec/17 Commented by Mahesh Andiboina last updated on 11/Dec/17 $$\mathrm{plz}\:\mathrm{ans}\:\mathrm{both} \\ $$ Answered by sushmitak last…
Question Number 25520 by Mahesh Andiboina last updated on 11/Dec/17 Commented by Mahesh Andiboina last updated on 11/Dec/17 $$\mathrm{plzz}\:\mathrm{ans}\:\mathrm{both} \\ $$ Answered by prakash jain…
Question Number 25521 by Mahesh Andiboina last updated on 11/Dec/17 Answered by sushmitak last updated on 11/Dec/17 $$\mathrm{16} \\ $$$$\frac{{dy}}{{dx}}=\frac{{dy}/{dt}}{{dx}/{dt}}=\frac{\frac{{d}}{{dt}}\left(\mathrm{2}{at}\right)}{\frac{{d}}{{dt}}\left({at}^{\mathrm{2}} \right)}=\frac{\mathrm{2}{a}}{\mathrm{2}{at}}=\frac{\mathrm{1}}{{t}} \\ $$$$\mathrm{17} \\ $$$$\frac{{dy}}{{dx}}=\frac{{dy}/{dt}}{{dx}/{dt}}=\frac{\frac{{d}}{{dt}}\left({t}^{\mathrm{2}}…
Question Number 25519 by Mahesh Andiboina last updated on 11/Dec/17 Commented by Mahesh Andiboina last updated on 11/Dec/17 $$\mathrm{plz}\:\mathrm{ans}\:\mathrm{both} \\ $$ Answered by sudhanshur last…
Question Number 156584 by Ghaniy last updated on 12/Oct/21 $$\mathrm{find}\:\mathrm{p}\:\mathrm{if}\:\mathrm{y}=\mathrm{1}−\mathrm{px}−\mathrm{3x}^{\mathrm{2}} \\ $$$$\mathrm{if}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{is}\:\mathrm{13}\:\:\left(\mathrm{help}\:\mathrm{pls}\right) \\ $$ Commented by john_santu last updated on 14/Oct/21 $${max}\:{f}\left({x}\right)=−\mathrm{3}{x}^{\mathrm{2}} −{px}+\mathrm{1} \\ $$$${when}\:{x}=−\left(\frac{−{p}}{\mathrm{2}\left(−\mathrm{3}\right)}\right)=−\frac{{p}}{\mathrm{6}}…
Question Number 91036 by niroj last updated on 27/Apr/20 $$\:\mathrm{Solve}: \\ $$$$\:\:\left(\mathrm{x}+\mathrm{a}\right)^{\mathrm{2}} \frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }−\mathrm{4}\left(\mathrm{x}+\mathrm{a}\right)\frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{6y}=\:\mathrm{x} \\ $$ Answered by MWSuSon last updated on 27/Apr/20 $${let}\:{x}+{a}={e}^{{z}}…
Question Number 25488 by Mahesh Andiboina last updated on 11/Dec/17 Commented by prakash jain last updated on 11/Dec/17 $${xy}=\mathrm{1} \\ $$$$\Rightarrow{y}=\frac{\mathrm{1}}{{x}} \\ $$$$\frac{{dy}}{{dx}}=−\frac{\mathrm{1}}{{x}^{\mathrm{2}} } \\…
Question Number 91000 by niroj last updated on 27/Apr/20 $$\:\:\boldsymbol{\mathrm{Solve}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{differential}}\:\boldsymbol{\mathrm{equations}}: \\ $$$$\:\:\:\frac{\boldsymbol{\mathrm{d}}^{\mathrm{2}} \boldsymbol{\mathrm{y}}}{\boldsymbol{\mathrm{dx}}^{\mathrm{2}} }+\:\frac{\boldsymbol{\mathrm{x}}}{\mathrm{1}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }\:\frac{\boldsymbol{\mathrm{dy}}}{\boldsymbol{\mathrm{dx}}}−\:\frac{\boldsymbol{\mathrm{y}}}{\mathrm{1}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }=\:\boldsymbol{\mathrm{x}}\sqrt{\mathrm{1}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} } \\ $$ Commented by niroj last updated on…
Question Number 90881 by M±th+et+s last updated on 26/Apr/20 $${if}\:{the}\:{value}\:{of}\:{x}\:{is}\:{in}\:{degrees}\:{what}\:{is} \\ $$$${the}\:{derivative}\:{of}\:\:\:{f}\left({x}\right)={sin}\left({x}\right) \\ $$ Commented by mr W last updated on 28/Apr/20 $${we}\:{have}\:{different}\:{understanding}: \\ $$$${if}\:{x}\:{is}\:{in}\:{rad},\:{the}\:{slope}\:\frac{{dy}}{{dx}}\:{is}\:{in}\:{unit}…