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Find interval for which the function f(x)=xex(1-x) is increasing or decreasing function
Draw the graph of y=x^2-4x from x=-1 to x=5.use the scale of 2cm on the x axis and 1cm on the y axis.Estimate the gradient at point:x=4, x=2 and x=0
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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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