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Differentiation of arctan(x), also written tan ^(-1) (x), requires a little knowledge of regular trigonometric algebra and differentiation, and implicit differentiation. Let's set y = arctan(x) to start. The...

Benzene is an aromatic compound. The structure of benzene is a 6 membered ring of carbons each bonded to eachother with a sigma bond, containing two electrons. The remaining 6 electrons form a pi-cloud of el...

In English, in the past tense, we use a combination of an auxillary verb and a main verb in the past participle form. In the example 'I have eaten', 'have' acts as the auxillary verb and 'eaten' is the past ...

The chain rule, product rule and quotient rule are all 3 methods of differentiating complex functions. Chain rule The chain rule is as follows: (dy/dx) = (dy/dz).(dz/dx) or D{f(g(x))}/dx = f'(g(x)).g'(x) The...

A chamber wall's thickness is directly linked to its function. Each of the 4 chambers has a different function and so, they each have different wall thickness. The more work a chamber has to do, the thicker ...