Learning objectives
Locate stationary points by solving dy/dx = 0, and determine whether each is a maximum or a minimum using d²y/dx² or the sign of the gradient on either side
Use the coordinates and nature of stationary points to sketch a curve and to state the range of a function
Solve optimisation problems by expressing a quantity such as an area, volume or cost in terms of one variable and finding its maximum or minimum value
Calculate rates of change and connected rates of change with the chain rule, for example dV/dt = dV/dr × dr/dt for a container being filled
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