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To break this down easily we can use a technique called a 'Farmers Field' !

Drawing a box with a cross through the middle to make 4 mini boxes, we can then use each mini box to write out each part ...

Firstly, differentiate the equation y=x³+3x²+4x+2 to find the gradient function. The gradient function is dy/dx and is found to be 3x²+6x+4 = f'(x) after differentiation. ...

Firstly number the two equations 1 and 2 for simplicity. To solve this we want to eliminate one of the variables, x or y, so we start by looking at the equations and seeing if we can add or subtract them ...

The first thing you must do is get all the terms on the same side, which we do by adding 6 to both sides : x^2 + 5x + 6 = 0.
Next, we must work out which numbers add to the middle term, and write th...

If thinking about graphs, differentiation is the gradient, and integration is the area between the line and the axis. These operations are useful if we know values that are related through them, for examp...