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Often in Philosophy (and Maths) we may come across the phrase 'if and only if', regularly abbreviated as 'iff' and denoted by an arrow pointing in both directions. <-> Logicians refer to this as a b...
To solve this question we need to understand the process of implicit differentiation, which is a case of using the chain rule. If you remember the chain rule states that for y=f(g(x)), we have y'=f'(g(x))...
Catalytic converters are used in motor vehicles.They catalyse the conversion of potentially harmful gases produced in the combustion of motor fuel, into less harmful gases.The reactants for such a convers...
This is a question that a lot of students ask, and with good reason: studying for your A-Levels, applying to universities, and still having time for any other interests you most likely have can be really ...
Assumed knowledge: The chain rule, implicit differentiation and being able to differentiate exp(x).Chain rule: d/dx = d/dy * dy/dxImplicit differentiation: f(y) = g(x) => f'(y)*dy/dx =...
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