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First, understand the concept of a turning point (zero gradient, implying first derivative is zero at the turning point)How do we differentiate exponentials ( if f(x) = e^g(x) then f'(x) = g'(x)*e^g(x) ) Oka...

First we check the formula for our first case, n=1 where (cosx + isinx) n =cosnx + isinnx (cosx + isinx) 1 = cos(1x) + isin(1x) - holds true for n=1 next we assume true for our case n=k(cosx + isinx) k = cos...

This is a common example of an integral that is a product of two functions whose derivatives are related. As we know the derivative of sinx is cosx, we can use substitution to easily solve this - let our U= ...

The word 'significance' is used in many exam questions in both English Literature, and can often be a complicated and confusing concept. For example, an English Literature essay question on The Taming of the...

The subjunctive, rather than a tense, is used as a 'mood'. Certain phrases and purposes take the subjunctive. An acronym to remember what purposes take the subjunctive is "WEIRDO" which stands for ...