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Find interval for which the function f(x)=xex(1-x) is increasing or decreasing function
y=mx+c
Natural exponential function : There is a extremely important exponential function which arises naturally in several places. This function is called as the natural exponential fun
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How many arrangements can be made from the letters of the word " VENUS " such that the order of the vowels remains the same?
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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)
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)
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