Differentiate $y=((e^x)-(e^{-x}))/((e^x)+(e^{-x}))$  and   prove that $dy/dx=1-y^2$

Differentiate $y=((e^x)-(e^{-x}))/((e^x)+(e^{-x}))$  and   prove that $dy/dx=1-y^2$.

  • I think there is a typo in the question.

  • There is no typo in the question, I'll try to rewrite to so that it is hopefully easier to understand basically it's e power of x minus e power of negative x over e power of x plus e power of negative x y=((e^x)-(e^-x))/((e^x)+(e^-x)) hope this helps

  • if y = ((e^x)-(e^-x))/((e^x)+(e^-x)), it is not true that y = 1 - y^2. Consider the case when x = 0. In that case y = 0.

  • this is differentiation trying to prove that when y is differentiated, dy/dx=1-y^2. Are you saying that this is not achievable?

  • So there was a typo, because you didn't include dy/dx before

  • ok, that was my bad , should have made it clearer, are you able to help with my quesrion now?

Answer

Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer
The answer is accepted.