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dy/dx = 3x^2

First, if the question does not already have one, draw a diagram. 

Area of a rectangle is base * height and area of a triangle is 1/2 * base * height. As the two areas are the same, you know you ca...

To find the increase in price, you have to find the change in price and then compare that to the original price. The change in price is found by doing new price-old price (£2.00-£1.50=£0.50). You then fin...

In Economics we study the idea of 'scarcity' (also known as the Economic Problem). Scarcity means that there is a finite amount of resources and an infinite amount of wishes. The Price Mechanism exists to...

The first step is to multiply out the bracket

3x³ - 3x² - 36x = 0

Then remove the common factor 3x

3x(x² - x - 12) = 0

Then factorise the brack...