a typical question would be a setof parametric equations y(t) and x(t), asking you to find dy/dx and then the tangent/normal to the curve at a certain point (ie t = 2)

this question is a great example as we have many different aspects of a level maths workng together into one.initialy you will use use chain rule to find dy/dx = dy/du * du/dx.then you will either keep the value of this for your tangent value or inverse for your normal value., then subbing in the t value to get a numerical value to use in the equation of a line.you will then find your x and y values for the given t value.combine these elements into the y=mx+c equation or (y-y1)=m(x-x1)and you may be asked to rearrange to ax + by + c = 0