Posted by **monic** on Friday, February 8, 2013 at 5:40pm.

Differentiate.

f(x) = 8 − x^ex/x + ex

f '(x) =

- calculus 1 -
**Steve**, Friday, February 8, 2013 at 6:09pm
Hard to tell just what you mean there. If you mean

f(x) = (8-xe^x)/(x+e^x)

f' = [(-e^x - xe^x)(x+e^x) - (8-xe^x)(1+e^x)]/(x+e^x)^2

= (-xe^x - x^2 e^x - e^2x - xe^2x - 8 + xe^x - 8e^x + xe^2x)/(x+e^x)^2

= (e^x(-x+x^2-e^x-xe^x+x-8+xe^x)-8)/(x+e^x)^2

= (e^x(x^2-e^x-8)-8)/(x+e^x)^2

doesn't get much simpler

If I got the original wrong, fix it and visit wolframalpha.com

## Answer this Question

## Related Questions

- Grade 12 Calculus - Evaluate each of the following. Show all your calculations...
- calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...
- calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...
- calculus - Find an equation for the surface consisting of all points P(x, y, z) ...
- calculus - Differentiate. y = x^3/3 − x^2
- Calculus - Differentiate: a. y = (x + 3)(x^2 −5x +1) b. y = x^2e^x
- calculus - Differentiate the function. y = (Square root x)(x − 10)
- biology - Given the part of the molecule shown below, can the underlined atom ...
- trigo help! - 1. differentiate cos(3/x) 2. differentiate sin(4/x) 3. ...
- Calculus - I'm having problems with this one. Can't get the right answer. ...

More Related Questions