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Show that (a) the function f(x)=x^(3)+...

Show that
(a) the function `f(x)=x^(3)+3x+5` increase in the entire domain of the definition,
(b) the function `g(x)=(x)/((1+x)^(2))` decrease in the interval `(1,oo)`

Text Solution

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The correct Answer is:
(b) Consider the difference `(x_(2))/(1+x_(2)^(2))-(x_(1))/(1+x_(1)^(2))`
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