Y2x2 y2 d2y y dx2 dy O D X dx II Use logarithmic differentiation to find the derivative of y with respect to the independent variable y= (In x)Inx In (In x) 1 O A X In (In x) О в (In x)Inx X (Inx)InxLet's simplify it First dy/dx = (y/x 1)/(y/x 1) Taking y = vx dy/dx = v xdv/dx Therefore, dx/x = (v 1)dv / (v^2 1) Integrating we get log (1/x) logc = arctan (y/x) 1/2 logFind stepbystep solutions and your answer to the following textbook question Find dy/dx by implicit differentiation x^3y^3 y = X
Find Dy Dx If Y X Square Root X X Ki Power 4 Log X
