Optimisation

Optimisation

There are many cases for which we need to identify the maximum or minimum value for a situation. The solution is often referred to as the optimum solution and the process is called optimisation. There are several ways of finding optimum solutions including: graphing the function accurately and search for the maximum or minimum from [...]
Rates of Change

Rates of Change

Assume $x(t)$ is a displacement, then $x'(t)$ or $\dfrac{dx}{dt}$ is the instantaneous rate of change in displacement with respect to time, which is velocity. Example where quantities vary with time, or with respect to some other value. temperature changes height of the surface of water in a pond speed of a car $\dfrac{dy}{dx}$ gives the [...]