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To find the minimum point of this curve you need to differentiate y and set it equal to zero before solving for x. If the questions does not say otherwise give your answer to 3 s.f. dy/dx = 3e^3x -12e^2x ...

In this algebraic problem, we are faced with two unknowns (x's) on both sides of the equation. Remember that what we do to one side, we must also do to the other side. So to tackle this, we will first foc...

Travelling upwards

u = 8m/s     v = 0 m/s      a  = -9.8m/s       S = ?        t = ?

v = u + at                                      v²  = u² + 2a(S - 1.5)

Starting in the right atrium, the sinoatrial node (SAN) will send a signal to contract both atria, opening the atrioventricular valves (tricuspidand bicuspid/mitral) and forcing blood in to both ventricle...

let u = x^2              let v  = e^2x

du/dx = 2x             dv/dx = 2e^2x

d/dx = vdu/dx + udv/dx = 2x e^2x + 2x^2e^2x

Therefore

d/dx = ...