Category: Differentiation

Question Number 5874 by sanusihammed last updated on 02/Jun/16 $$Provetheidentity.$$$${cosh}^{-1}\left(x\right)={sinh}^{-1}\left(\frac{1}{x}\right)$$$$$$$$pleasehelp.$$ Answered by Yozzii last updated…

Question Number 5866 by sanusihammed last updated on 02/Jun/16 $$Solveintegralofsec\left(x\right)dx.giventhatt=tan\left(\frac{x}{2}\right)$$ Answered by Yozzii last updated on 02/Jun/16 $$Lett=tan0.5x\Rightarrow dt=0.5{sec}^{2}0.5xdx$$$${dx}=\frac{\mathrm{2}{dt}}{\mathrm{1}+{t}^{\mathrm{2}} } \…

Question Number 71371 by rajesh4661kumar@gmail.com last updated on 14/Oct/19 Commented by prakash jain last updated on 15/Oct/19 $$x^2+y^2-2x+2y-23=0$$$$\left({x}−\mathrm{1}\right)^{\mathrm{2}} +\left({y}+\mathrm{1}\right)^{\mathrm{2}} =\mathrm{25} \…

Question Number 5715 by sanusihammed last updated on 24/May/16 $$Differentiate{x}^{x}fromthefirstprinciple.$$$$$$$$pleasehelp$$ Answered by Yozzii last updated on 25/May/16 $${Let}\:{y}={x}^{{x}}…

Question Number 5615 by Rasheed Soomro last updated on 22/May/16 $$\mathrm{The}\mathrm{tangent}\mathrm{at}\mathrm{the}\mathrm{point}\mathrm{P}(a,b)\mathrm{on}\mathrm{the}$$$$\mathrm{curve}\mathrm{y}=\frac{ab}{x}\mathrm{meets}\mathrm{the}\mathrm{x}-\mathrm{axis}\mathrm{and}\mathrm{y}-\mathrm{axis}$$$$\mathrm{at}\mathrm{Q}\mathrm{and}\mathrm{R}\mathrm{respectively}.\mathrm{Show}\mathrm{that}$$$$\mathrm{PQ}=\mathrm{RP}.$$ Commented by prakash jain last updated…