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The chain rule is given by dy/dx= (dy/du)(du/dx). If we set u=6+2x+2x²then, y=u³ thus, dy/dx=(3u²)(2+4x) = (3(6+2x+2x²)²)(2+4x). Example does not ask...

This is an example of a quadratic equation which we can solve on of two ways as it takes the form ax^2 + bx - c = 0a = 1, b = -5, c = -14 (1) Factorisation which we can do ourselves OR (2) Use the quadrat...

Firstly multiply the first equation by 2 resulting in the equation 12a + 2b = 32. Following this, add the first equation to the second equation, this will result in the 2b cancelling out with just 17a = 5...

Firstly, an expression for dy/dx needs to be found to allow us to find the gradient of the normal. As a normal is a straight line, the equation y-y₁=m(x-x₁) can be used to find its e...

In simultaneous equations, at this level, you are often given two equations both containing an x and a y. For example:Equation1: y + 2x = 3Equation2: 4y + 2x = 8.The first step in approaching this is to t...