6.4 Show that the polynomial f(x)=1+x+x+x +x is strictly increasing over the whole real line. 6.5...

 

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6.4 Show that the polynomial f(x)=1+x+x+x +x is strictly increasing over the whole real line. 6.5 Find the value a such that the function f(x)=xlnx is strictly decreasing for x = (0,a) and strictly increasing when x > a. 6.4 Show that the polynomial f(x)=1+x+x+x +x is strictly increasing over the whole real line. 6.5 Find the value a such that the function f(x)=xlnx is strictly decreasing for x = (0,a) and strictly increasing when x > a.