12.3 Stationary Points

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The gradient of the curve the point of minimum area is ...

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The gradient of the curve at the point of maximum volume is ...

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Match

Match the following:

• Minimum point

• Maximum point

• Point of inflexion

• stationary point

gradient changes from negative to positive

gradient changes from positive to negative

gradient remains unchanged on both sides of the stationary point

gradient is 0

• gradient changes from negative to positive

• gradient changes from positive to negative

• gradient remains unchanged on both sides of the stationary point

• gradient is 0

Open Ended

How do we find the x-intercepts of the graph?

What sort of equation do we have to solve?

Open Ended

You have learnt two tests to determine the nature of stationary points. Which test do you prefer and why?

Open Ended

Any qe