Search over 10,000 free study notes

Sinx differentiates to give cosx.

We then multiply this by the differential of "2x."

Which equals 2.

Our answer therefore is "2cos(2x)."

First, we need to draw a diagram, to understand the question more clearly. 
y = x^2 is a common curve, but to sketch y = 4x - x^2, we should factorise it, to find where it inersects...

Using conservation of momentum, m1u1 + m2u2 = m1v1 + m2v2, set m1 = 2kg, m2 = 3kg, u1 = 5m/s, u2 = -4m/s and v1 = -4m/s. Substitute these into the equation to get 25 + 3(-4) = 2*(-4) + 3*v2 10 - ...

Solve for x, between 0 and 360 degrees, 4cos² (x) + 7sin (x) – 2 = 0 The way to approach this problem is to understand th...

The equation of a circle is (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the centre of the circle, and r is the radius. To condense our equation into this form we have to use the technique of completing the sq...