For the function f(x)=x2e18x\displaystyle {f{{\left({x}\right)}}}={x}^{{{2}}}{e}^{{{18}{x}}}, find the critical numbers and use the First Derivative Test to find the local maximum and minimum values and where they occur. Enter exact answers.

f(x)\displaystyle {f{{\left({x}\right)}}} has a local maximum at x=\displaystyle {x}=  
with value y=\displaystyle {y}=  

f(x)\displaystyle {f{{\left({x}\right)}}} has a local minimum at x=\displaystyle {x}=  
with value y=\displaystyle {y}=  

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