Evaluate `(dy)/(dx); if y=(e^x-e^(-x))/(e^x+e^(-x))`

Evaluate (dy)/(dx);quad if quad y=(e^(x)-e^(-x))/(e^(x)+e^(-x))

(dy)/(dx) =y ((e^(3x)-e^(-3x))/(e^(3x) +e^(-3x)))

(dy)/(dx)=2y((e^(2x)-e^(-2x))/(e^(2x)+e^(-2x)))

(dy)/(dx)=e^(x-y)+x^(2)e^(-y)

If e^(x)+e^(y)=e^(x+y), prove that (dy)/(dx)=-(e^(x)(e^(y)-1))/(e^(y)(e^(x)-1)) or,(dy)/(dx)+e^(y-x)=0

If e^(x) + e^(y) = e^(x + y) , then prove that (dy)/(dx) = (e^(x)(e^(y) - 1))/(e^(y)(e^(x) - 1)) or (dy)/(dx) + e^(y - x) = 0 .

Find dy/dx if y = e^x/x

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