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y= x³ +5x² -6x +4

dy/dx = 3x² +10x -6

...

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...

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...