Question

Find conditions on a and b that ensure that f(x) = x^3 +ax +b is increasing on (-inf, inf) (correction)

Answer 1

the derivative is
\[3x^2+a\] so you have to make sure that this is positive. the "b" has nothing to do with it. so long as
\[a>0\] then
\[3x^2+a>0\] so your function will be increasing