Question: For the function \(f\left( x \right)=3{{x}^{5}}-10{{x}^{3}}+15x\), find the relative maximums, the relative minimums, the intervals in which the function is increasing, the intervals in which the function is decreasing, the points of inflection, the intervals in which the function is concave upward, the intervals in which the function is concave downward, and sketch the graph of the function.