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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) ) ...

The elimination method
2x + 3y = 83x + 2y = 7
First we multiply one or both of the equations so that one of their like terms share the same coefficients.
2x + 3y = 8 (multi...

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=...

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 ...

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 Tamin...