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Find the turning points of the curve y = x^3 +5x^2 -6x +4

y = x 3 +5 x 2 -6 x +4 dy/dx = 3 x 2 +10 x -6 at turning points dy/dx = 0 therefore 3 x 2 +10 x -6 = 0 This quadratic is factorisable. When factorised you get: (3 x -2)( x +4) = 0 therefore x = 2/3 and -4 at...
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Answered by Arshan B. • Maths tutor
20409 Views

Differentiate y=x^3

dy/dx = 3x^2
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Answered by Rhiannon H. • Maths tutor
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If the area of a rectangle with sides 3cm and (4+x)cm is equal to that of a triangle with base of 2xcm and a height of 4cm, find x

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 can set the t...
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Answered by Alice K. • Maths tutor
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Work out the increase in price from £1.50 to £2.00 as a percentage.

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 find i...
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Answered by Alice K. • Maths tutor
4975 Views

Why does the Price Mechanism exist and what are the functions of it?

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 al...
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Answered by Becky A. • Economics tutor
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