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Que, H. Find the interval in whichf(2 -xx)=xe is increasing. |
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Answer» we can differentiate y wrt x and check its value is positive. dy/dx= e^-x*x(2-x)nowdy/dx is positive when x(2-x) is positive as e^{-x} is always positive. x (2 - x) is positive if 0 < x < 2 . Hence y is increasing in the interval (0, 2) |
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