# Numbers | Maths with Lemon

Source: https://mathswithlemon.io/aa-calculus-optimization.html


## Optimization

"What is mathematics? It is only a systematic effort of solving puzzles posed by nature." Shakuntala Devi


#### Optimization and rate of change


##### What you have to know:

- The derivatives of all known functions. (If not, check this lesson)
- Recognize all the basic functions.
- You must be able to manipulate exponential expressions. (If not, check this lesson)
- You must be able to manipulate logarithmic expressions. (If not, check this lesson)

##### Key Points

- 1. Watch the video:
- 2. Check out this presentation .
- 3. Watch this video .

#### Rate of change


##### What you have to know:

- The derivatives of all known functions. (If not, check this lesson)

##### Key Points

- 1. Watch the video:
- 2. IB exam question. Watch this video .
- 3. Check this website to see an example of rate of change in logistic and exponential models: Link .

#### Extra


##### Material and references:

- Hodder Book HL: 10D, 10E
- Pearson HL: 13.4, 13.5

##### Key Points

- 1. Watch the video:

### IB Past Paper Problems

Select a topic and unit, then click the button below to get a new problem.

Press the button to start!

How was this problem?