Optimisation (DP IB Analysis & Approaches (AA))

Optimisation in calculus is the process of finding the maximum or minimum values of a function.

False.

Optimisation problems typically involve a quantity dependent on a single variable.

Sometimes a problem in multiple variables will need to be rewritten first in terms of a single variable.

The first step in solving an optimisation problem is rewriting the quantity to be optimised in terms of a single variable, using any given constraints if necessary.

Finding stationary points for a function used in an optimisation problem can be important because stationary points include all local maximum and minimum points.

In optimisation problems, the second derivative can be used to determine the nature of stationary points (maximum or minimum).

True.

When the first part of an optimisation problem is a "show that" question, you may still be able to access later parts of the question even if you can't complete this initial step.

For example a formula or equation may be included in the 'show that' part. That formula can be used in later parts, even if you don't answer the 'show that' part.

The final step in answering an optimisation question is interpreting the answer in the context of the question.