The Student Room Group
You learn the rule that:

y = sec f(x), dy/dx = f'(x) sec f(x) tan f(x)

So dx/dy = 1/2 sec (y/2) tan (y/2)
Gamma
Can somebody please teach me how to differentiate sec? Is this one that you learn, or can you derive it or work it out?

dx/dy = (1/2)sec(y/2)tan(y/2)

Standard result in the formulae booklet.