A poll commissioned by a politician estimates that t days after he makes a statement denegrating women, the percentage of his constituency (those who support him at the time he made the statement)...

A poll commissioned by a politician estimates that t days after he makes a statement denegrating women, the percentage of his constituency (those who support him at the time he
made the statement) that still supports him is given by S(t) = 75(t2 − 3t + 25)/t2 +3t+25
The election is 10 days after he made the statement.
(i) If the derivative S’(t) may be thought of as an approval rate, derivate the a function for his approval rate.
(ii) When was his support at its lowest level?


(iii) What was his minimum support level?