My error book so far...
-Check the specified and maximal domain in the question before specifying a new domain/drawing a graph or giving a solution. Also check the question restraints. (i.e. distance cannot be less than 0 or diameter must be greater than 0)
-Roughly sketch the graph at very least. This will reduce mistakes. (particularly with normal distributions)
-Remember that the standard exponential function will always be greater than 0.
-Modulus functions – Be sure to know which part of the graph is f(x) and which part is –f(x)
-REMEMBER, the derivative of e^x is e^x …..NOT 1
-Apply the chain rule where more than 1 mark is allocated for differentiating.
-Clearly set out the chain rule for y= and u= . Also, when using the quotient and product rule, very CLEARLY and EXPLICTLY define f(x), f’(x), g(x) and g’(x). This will avoid mix ups.
-Always define a probability distribution e.g. (X=number of sixes rolled)
-Remember the dx at the end of an antiderivative
-Remember the +C when the question asks for ‘the’ antiderivative.
-You cannot differentiate at endpoints.
So far after like 4 exams lol, plus a few of Derricks. This error book is gonna be awesome. Such a good idea! Should have done it for chemistry mid year too. I'll start now for that too.
Gonna do it for biology as well, because it is easy to stuff up anything pedigree related.
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