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Example curve: y = x² + 4x + 5The first step is to differentiate the equation to give us the gradient at a general point. As a quadratic equation is an example of a polynomial, the solution is ...

Step 1: make one term in both equations the sameHere we will multiply equation B by 2 so that there is a 2y in both equationsEquation C = 2 x equation B = 2y + 4x = 16
Step 2: Combine the equationsIf...

Step 1: factorise Find two numbers which add to make -5 and multiply to make 6--- -3 and -2(x-3)(x-2)=0
Step 2: recognise solutionsTo make the left hand side equal the right hand side, we can make on...

Magnitude:
Find the square root of 3^2+5^2=root of 34=5.83N (3sf)
Direction:
Draw a triangle with 3N at the bottom, 5N going up and the hypotenuse then represents the resultant force.The di...

The gradient or the slope of a curve is defined as the change in the y direction over the change in the x direction (dy/dx). In order to calculate a formula for the gradient of a curve we must differentia...