Question 1153810

go to:

https://www.symbolab.com/solver/step-by-step/R%5Cleft(t%5Cright)%20%3D%20%E2%88%920.037t%5E%7B4%7D%20%2B%201.414t%5E%7B3%7D%20%E2%88%92%2019.777t%5E%7B2%7D%20%2B%20118.696t%20%E2%88%92%20205.332

scroll down to see the graph

you will see that the function monotone intervals are: 

{{{-infinity  < x < 6.56582 }}}=>function {{{increasing}}}
at {{{x = 6.56582}}}=> function has {{{maximum}}}
{{{6.56582 <t<infinity}}}  =>function {{{decreasing}}}