JEE Main 20236 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002If 2xy+3yx=202 x^{y}+3 y^{x}=202xy+3yx=20, then dydx\frac{d y}{d x}dxdy at (2,2)(2,2)(2,2) is equal to :AOption A. −(3+loge164+loge8)-\left(\frac{3+\log _{e} 16}{4+\log _{e} 8}\right)−(4+loge83+loge16)BOption B. −(2+loge83+loge4)-\left(\frac{2+\log _{e} 8}{3+\log _{e} 4}\right)−(3+loge42+loge8)COption C. −(3+loge82+loge4)-\left(\frac{3+\log _{e} 8}{2+\log _{e} 4}\right)−(2+loge43+loge8)DOption D. −(3+loge42+loge8)-\left(\frac{3+\log _{e} 4}{2+\log _{e} 8}\right)−(2+loge83+loge4)CheckSkip · show solution
