Posted by **Marissa** on Monday, May 21, 2012 at 12:18pm.

Find the derivative of

y=ln((1+e^x)/(1-e^x))

I know that the derivative of y=ln(1+e^x) would be (e^x)/(1+e^x), but I'm not sure what to do with the 1-e^x on the bottom here. Can someone help please? Thanks!

- Calculus I -
**Bosnian**, Monday, May 21, 2012 at 12:50pm
In google type:

wolfram alpha

When you see lis of results click on:

Wolfram Alpha:Computational Knowledge Engine

When page be open in rectangle type:

derivartive ln((1+e^x)/(1-e^x))

and click option =

After few secons you will see result.

Then clic option Show steps

- Calculus I -
**Reiny**, Monday, May 21, 2012 at 1:35pm
first of all recall that

ln (A/B) = ln A - ln B

so

y = ln((1+e^x)/(1-e^x) )

= ln (1+e^x) - ln (1-e^x)

dy/dx = e^x/(1+e^x) - (-e^x)/(1 - e^x)

simplify as needed

- Calculus I -
**Marissa**, Tuesday, May 22, 2012 at 9:39am
Okay, thanks guys!

## Answer This Question

## Related Questions

- Calculus Please check - Please check my answers and let me know if I did ...
- Maths Calculus Derivative Integral - Urgent Please - Use 2nd Fundamental Theorem...
- calculus - Find the first and second derivative - simplify your answer. y=x/4x+1...
- Calc - a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx...
- calculus - Please help with this. I need the first derivative of f(x)=4(x+...
- Calculus - I need to find the second derivative of y=x(x-1)^1/2. I found the ...
- Calculus - derivatives - Okay, I want to find the derivative of (x^x)^(x^x)... ...
- math - Find the derivative of y=3x-2(4^x) Here is my attempt: Derivative of 3x ...
- Calculus - Any help would be much appreciated with the steps involved in each ...
- calculus - Please help with this. I submitted it below and was asked to clarify ...

More Related Questions