Home
Class 12
MATHS
If x^y=e^(x-y) then prove that (dy)/(dx)...

If `x^y=e^(x-y)` then prove that `(dy)/(dx)=(lnx)/((1+lnx)^2)` .

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If x^(y)=e^(x-y) then prove that (dy)/(dx)=(logx)/((1+logx)^(2))

If x^(y)=e^(x-y), prove that (dy)/(dx)=(log x)/((1+log x)^(2))

If x^(y)=e^(x-y), prove that (dy)/(dx)=(log x)/((1+log x)^(2))

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

If x^(y)=e^(x-y), Prove that (dy)/(dx)=(log x)/((1+log x)^(2))

x^(y)=e^(x-y) so,prove that (dy)/(dx)=(log x)/((1+log x)^(2))

"If "x^(y)=e^(x-y)," prove that "(dy)/(dx)=(log x)/((1+log x)^(2)).

if x^(y)=e^(x-y) then prove that (dy)/(dx)=(log_(e)x)/((1+log_(e)x)^(2))

If xy=e^(x-y) , prove that (dy)/(dx)=(y(x-1))/(x(y+1)) .

if e^(-y)y=x then prove that (dy)/(dx)=(y)/(x(1-y))