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The differential is the slope of the graph at any point. So if we imagine a cosine in our heads, it starts at a peak and goes down to a negative peak. So in terms of the gradient (or slope) it starts at 0...

it is subjunctive because it is part of an indirect question.

f'(x)=lim(h->0) of [f(x+h)-f(x)]/h. In the case where f(x)=x^n, we have that f(x+h)-f(x)=h*nx^(n-1) + (h^2)*p(x) for a polynomial p(x), shown by binomially expanding f(x+h). Then dividing through by h ...

One crucial thing to remember, which is such a common mistake by students, is to remember it is an EXTRACT. The texts are not "sources", they are extracts from historians writing their take on t...

Scene 1.1 of Antony and Cleopatra depicts the struggle for power through both the lovers' relationship and the overarching political narrative of the play. In conflating personal and political li...