Hello, I would like to know if someone could correct this exercise if possible, because I am not sure that the answers given are all good. An acceptable approach to the height h of the tide as a function of time is expressed in hours at the port of Brest on July 14, 2019 from midnight to noon and modeled by the polynomial function:h(t) = -0.002t^3-0.0705t^2+1.17t+1.471) determine the expression of the derivative of h2) factorize with the method of your choice h'(t)3 ) deduce the table of variation of h on [ 0 ;12]4) specify the maximum of h on [ 0;12]Explain this result in the context of the statementusing the method of your choice determine at what time(s) of the day the tide will be 6 meter(s) high