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f''(x) means that we need to differentiate the function f(x) twice (f'(x) would mean we need to do it once). Differentiation means we multiply the coefficient by the power, and subtract one from the power...

The first thing to look at is l2 and l1 being perpendicular. This means the gradients of the two lines multiplied together = -1 . To determine the gradient a student could differentiate l1 but a slightly ...

Although there are several examples that suggest Elizabeth I was sometimes out of control of her parliament, the assessment that she was ‘never’ in control can be questioned. Over the course of her reign ...

The recent changes in monetary policy, which is the manipulation of monetary variables such as the Bank of England base rate and the amount of liquidity in commercial and retail banks to influence the lev...

Waterfalls are formed over areas where hard rock lays over soft rock. When the river flows over soft rock, it erodes the soft rock away, which begins to undercut the hard rock which lays above. As the har...