Search over 10,000 free study notes

Let u= 8x then du/dx = 8Let v= cos(3x) then dv/dx = -3sin(3x)Therefore using the product rule: dy/dx = (cos(3x))(8) + (8x)(-3sin(3x))So dy/dx = 8cos(3x) - 24xsin(3x) .

A standing wave is the interference of two sinusoidal waves travelling in opposite directions, confining the wave and its energy to a fixed position, creating nodes and anti nodes .
nodes - points w...

The subjunctive in general is used in six scenarios that can be summarised with the acronym WEIRDOWishes and desires Emotions Impersonal expressionsRecommendationsDoubt and Denial Ojalá (I hope/I pray)The...

It is important to remember that your personal statement should be 'personal'. Therefore, whilst you will need to tick boxes that the admissions tutors are looking for, it should also say somethi...

The Examiner is looking for a nuanced but strong answer.
Technology's rapid development during WW1 gave rise to the belief that it would cut the war short. However, each technological innovation was ...