Find interval of function, Mathematics

Find interval for which the function f(x)=xex(1-x)  is increasing or decreasing function

Posted Date: 3/29/2013 6:33:13 AM | Location : United States





Differentiate the given equation

you get e^x(1-x) + (xe^x(1-x))*(1-2x)

this can be written as (e^x(1-x) )*[1+x - 2x^2]

this equation is +ve if 1+x - 2x^2) is >0

this equation is positive in (-ve infinity to -1/2)....union  ......(1 to +ve infinity)

 

 

Posted by Sona | Posted Date: 3/29/2013 6:33:44 AM


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