\frac{f(a+h)-f(a)}{h}. This expression is called a difference quotient. It is the bridge between average change and local change. Before using derivative rules, we should be able to read this quotient ...

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A tangent to a circle at point P is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a ...

Plotting a graph takes time. Often mathematicians just want to know the key features. These are: shape, location and some key points (such as where the graph crosses the axes or turning points). So ...

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