Search over 10,000 free study notes

Firstly, implicitly differentiate the function to find dy/dx in terms of y and x: dy=dx = (-x-2y)/(2x+y). Secondly, set this equal to zero to obtain an expression of y in relation to x or vice versa: x=-2...

The general quadratic equation is ax^2+bx+c=0, now we need to Complete The Square, which allows us to have only one "x" term. First, divide the equation by "a", leaving us with x^2... ...

Before you start it is best to gather as much information as you can about the function. The most important things to find are any roots - as these will tell where the graph should cross the axis - and th...

The main three trigonometric functions are the tangent (tan), sine (sin) and cosine (cos) functions. The tangent, sine and cosine of an angle is defined in terms of the ratios of the length of sides of a ...

Here we have an equation involving absolute values. As a general rule |a| = +a and |a| = -a. We can apply that to our RHS. In the first case we get that 3x + 4 = 3x - 11, however after we subtract 3x from...