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What is the significance of using 'if and only if' in Philosophy instead of simply 'if'?

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...

AW
2674 Views

Differentiate y=ln(ln(x)) with respect to x.

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))...

MK
Answered by Marek K. Maths tutor
4606 Views

What is the purpose of a catalytic converter, and what is the reaction equation of a process that it catalyses?

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...

AB
Answered by Annie B. Chemistry tutor
3421 Views

Is it OK to use parts of another person’s personal statement that I found somewhere?

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 ...

IS
7265 Views

How do you differentiate ln(f(x))? Tricks like these occur commonly in STEP questions (including one I was looking at earlier today).

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 =...

JR
Answered by Joseph R. MAT tutor
1753 Views

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