Give an example of a function with one critical point which is also an inflection point. You must provide the equation of your function. Give an example of a function that satisfies \(f(-1)=f(1)=0\) ...

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

The first step is to calculate the derivative of the function, often denoted as f' (x). The derivative represents the rate of ...

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).

Give an example of a function with one critical point which is also an inflection point. You must provide the equation of your function. A particle moves along a line with a position function \(s(t)\) ...