The function f(x)=2x3+36x2120x+7\displaystyle {f{{\left({x}\right)}}}=-{2}{x}^{{3}}+{36}{x}^{{2}}-{120}{x}+{7} has one local minimum and one local maximum.
This function has a local minimum at x\displaystyle {x} =  
with value  


and a local maximum at x\displaystyle {x} =  
with value