# `f(x) = (1 - e^(1/x))/(1 + e^(1/x))` Use a computer algebra system to graph `f` and to find `f'`

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Expert Answers

tiburtius | Certified Educator

We will use Wolfram Mathematica (you can also use Wolfram Alpha which is free) to solve the problem.

**Graph of `f`**

*Plot[(1 - E^(1/x))/(1 + E^(1/x)), {x, -5, 5}]*

By writing the above line of code we obtain the image below.

**Finding `f'`**

*Simplify[D[(1 - E^(1/x))/(1 + E^(1/x)), x]]*

*Simplify *is used to simplify the expression obtained by differentiation.

**The final result is `f'(x)=(2 e^(1/x))/((1 + e^(1/x))^2 x^2)`**

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