If x^y=e^(x-y),prove that dy/dx=logx/(1+logx)^2 / Implicit Differentiation / Derivatives

If x^y=e^(x-y),prove that dy/dx=logx/(1+logx)^2 / Implicit Differentiation / Derivatives

#excellentideasineducation #education #cbsemaths #cbseboard #maths #cbse #calculus #differentiation #derivatives #chainrule #math #mathematics #previousyearquestions #exam #class12 #class12maths #boardexam If x^y=e^(x-y),prove that dy/dx=logx/(1+logx)^2 / Differentiation Class 12 / Derivatives / Calculus Differentiate tan^-1((sqrt(1+sinx)/sqrt(1-sinx)) find dy/dx / Calculus / Differentiation JEE / NEET    • Differentiate tan^-1((sqrt(1+sinx)/sqrt(1-...   If x=(2theta-sin2theta) and y=a(1-cos2theta) find dy/dx when theta=pi/3 / Differentiation Class 12 Maths    • If x=(2theta-sin2theta) and y=a(1-cos2thet...   If y=log(x+√x^2+1) then prove that (x^2+1)(d^2y)/(dx^2)+xdy/dx=0 / 2nd Order Derivates    • If y=log(x+√x^2+1) then prove that (x^2+1)...   If y=log(root x+1/root x)^2 then prove that x(x+1)^2 d2y/dx2 + (x+1)^2 dy/dx = 2 / Differentiation Class 12 / If y=log(√x + 1/√x)^2 then prove that x(x+1)^2 y2 + (x+1)^2 y1 = 2    • If y=log(root x+1/root x)^2 then prove tha...   If y=e^(asin^(-1)x) then prove that (1-x^2)(d^2y)/(dx^2)-xdy/dx-a^2y=0 / Differentiation Class 12    • If y=e^asin^-1x then prove that (1-x^2)d^2...   If log(x^2+y^2)= 2 tan-1(y/x) show that dy/dx =(x+y)/(x-y) / Differentiation / Derivative / Class 12 Maths    • If log(x^2+y^2)= 2 tan-1(y/x) show that dy...   y=x^tanx + ((√ x^2+1)/2) Find dy/dx / Derivative x power tanx + root (x^2+1) by 2 / Differentiation    • y=x^tanx + ((√ x^2+1)/2) Find dy/dx / Deri...