# Monotony & Inflection | Maths with Lemon

Source: https://mathswithlemon.io/ai-calculus-monotony.html


#### Monotony (Min–Max)


##### What you have to know:

- How to differentiate all functions. (If not, check this lesson)

##### Key Points

- 1. Watch the video:
- 2. Check out this presentation .
- 3. Watch this video on increasing and decreasing functions .
- 4. Watch this video on finding the minimum and maximum of a function .

#### Coronavirus and Inflection Points


##### Another way of seeing the inflection point and concavity

- In January 2020 there was an outbreak of Coronavirus. The whole world was going crazy that year. The deaths from the virus were rising up to some point and then started decreasing. The whole world was searching for the inflection point of the graph of the death rate.
- 1. Watch the video:

#### Concavity / Inflection Points


##### What you have to know:

- The derivatives of all known functions. (If not, check above.)
- Find the monotony of a function. (If not, check this lesson.)
- 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 .

#### IB questions on inflection points, minimum and maximum


##### What you have to know:

- To find the minimum or maximum of a function, take the first derivative and set it equal to zero.
- To find the inflection points, take the second derivative and set it equal to zero.

##### Key Points

- 1. Watch the video:

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