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) = (8xe^x)/(x+e^x)
f' = [(e^x  xe^x)(x+e^x)  (8xe^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^2e^xxe^x+x8+xe^x)8)/(x+e^x)^2
= (e^x(x^2e^x8)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  Differentiate. y = x^3/3 − x^2
 Calculus  Differentiate: a. y = (x + 3)(x^2 −5x +1) b. y = x^2e^x
 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 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