Exercise 1
Calculate the intervals of increase and decrease of the following functions:
1. 
2. 
3. 
4. 
5. 
6. 
Exercise 2
Calculate the maximum and minimum values of the following functions:
1.
2.
3.
4.
Exercise 3
Find the intervals of concavity and convexity and the points of inflection for the following functions:
1.
2.
3.
Exercise 4
The value of a stock on a particular day can be derived by the following formula: (Supposing that the stock exchange works every day of one month for 30 days.)
1. Determine the maximum and minimal values, as well as the days in which they happened.
2. Determine the time periods in which stocks rose or fell.
Exercise 5
Suppose that the yield, r, in the % of students in a one-hour exam is given by:
.
Where 
After solving the above equation:
Increasing:
Decreasing:
2.
After solving the above equation:
Increasing:
Decreasing:
3.
After solving the above equation:
No solutions in 
.
Decreasing:
4.
Increasing:
5.
Increasing:
Decreasing:
6.
Increasing:
Decreasing:
Solution of exercise 2
Calculate the maximum and minimum values of the following functions:
1.
2.
, there is a maximum
4.
Inflection point
2.
Inflection points:
3.
Inflection points:
Solution of exercise 4
The value of a stock on a particular day can be derived by the following formula: (Supposing that the stock exchange works every day of one month for 30 days.)
1. Determine the maximum and minimal values, as well as the days in which they happened.
After solving the equation, we will get:
.Where 
2. At what moments is the yield zero?
After solving the equation, we will get:
The yield is zero at the beginning 
and at the end of the test 
.
3. When is the biggest yield obtained and which is?
Maximum yield:
Summarise with AI:
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I get it somehow, there are others who are unfamiliar and I have a hard time with it but it’s okay that I get it.
Thanks for sharing your thoughts! It’s completely normal to find some parts unfamiliar or more difficult than others. The important thing is that you’re making progress and understanding more as you practise. Keep going! 😊
At least I understood some of it, but there are others that I’m confused about and have a hard time understanding, but I get it.
Thanks for sharing! It’s great that you’ve understood some of it already. Don’t worry if a few parts are still confusing — keep practising and take your time with the trickier sections. You’ll get there! 😊
The lesson was a little difficult for me, especially the word problems, but the examples helped me understand it better.
Thanks for your feedback! Word problems can definitely be tricky, so we’re glad the examples helped make the lesson clearer. Keep practising — it gets easier with time! 😊
Thankyouuu po