Hey this is a double post im sorry the first post did not work.

I just cant work this one out. I was told I need to use the first derivative test, but i dont know how to apply to this question.

Help would be much appreciated as i have not done this level of maths in some time.

I am also aware i speled calculus wrong :P

The temperature of a chemical reaction is given by the formula

T(t)=8e^(-0.3(t-2)^(2))+7

where Tis the temperature andtis the time in seconds since the reaction was started.

a.

Draw a neat graph showing the reaction temperature during the first eight seconds of the reaction.

b.

What is the maximum temperature reached during this reaction?

c.

What is the maximum rate of increase in temperature achieved by this reaction? At what time is this rate achieved?