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First, find the gradient, m, of the line AB. Gradient is given by: change in y / change in xChange in y = 15-1 = 14Change in x = 10-4 = 6Gradient = 14/6 = 7/3The ...
We know that turning points occur when the gradient is equal to zero. Hence, we differentiate this curve. dy/dx = 2x+3 and we set this equal to zero. This gives 2x+3=0, we then rearrange to get 2x=-3 and ...
There are a few ways to do this, firstly you notice that there is no coefficient in front of the x^2. This means you can factorise it with relative ease, by finding numbers that add to give 5 but multiply...
Differentiate y with respect to x:dy/dx = 2(x+3) = 2x+6When the above equation is equal to 0, this is where the turning point of the curve is.2x+6 = 02x = -6x = -3Therefore, at x = -3, the curve has a tur...
The aim is to finish with an equation that looks like "y = .....". We want Y and X on separate sides.The main thing to remember is that whatever you do to one side of the equation, you also do t...
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