AwkwardAnchor is right, but what I was trying to get at is that the values of x for which y"=0 are not necessarily the points of inflexion on y. I believe understanding the derivatives and its implications to the original function is far more vital than arriving to the answer.
Good luck...
Aah I havn't done this topic and I'm afraid of giving you incomplete or wrong help... but I'll try:
The first derivative describes the gradient function of the original function (i.e. how it grows and decays). The second derivative describes the gradient function of the first derivative. So...
Know your aim Smile12345... Why do you want the first/second derivative? How will that help you?
Believe me, knowing why you do each step in mathematics will take you a long way.
Note that determining whether a turning point is a max/min is not necessarily easiest through the second derivative (due to difficult differentiation) and sometimes you ought to just use a table of values and test the immediate left/right points of the stationary point.
To reiterate kev-kun to an extent:
The energy content of fuels is dependent on the stored energy within the intramolecular bonds. Now, fuels vary greatly in molecular mass (think hydrocarbon chains) and hence comparison by molar heat of combustion (kJ/mol) is MISLEADING - not wrong. It's...
Okay nvm writers block again. I just can't seem to write anything that fits my 'standards' and so I take forever to actually start, let alone continue writing. Further tips needed :P