Good luck on your exams! :-) Good luck 2023 MaC Term 1 B std (Nov2023)

 Hello students, it's Jan here. It's been a pleasure teaching you.

Please make sure you try lots of practice exams.

If you have any questions feel free to try teams, and f you cant get me there, try making a comment here.

Lots of good luck!

Happy New Year 2024! 

Did you know $2024=2^3\times 11\times23$

Kind regards,

Jan :-)

Basic Differentiation On NUMBAS platform

 Hi all,

Please try these links which contain exercises on basic differentiation rules.

It is on Numbas platform, and the questions have random numbers and functions so you can keep trying until you can do it!!

Here are the Links: 

• Finding the equation of the tangent and normal (JHa) 

• Differentiation Rules: Product, Quotient, Chain Rule (JHa)

Challenge Absolute value function. Sketch $|x|+|y-x|=1$.

 

Example of absolute value graph

 

Example - reducible to quadratic equation - BC4

Thanks BC4

Tutorial 1 Week 3 - Tuesday 5 Sept 2023 - by BC3

• Solving quadartic equations by factorising or quadratic formula
• Reducible to Quadratic equation by substitution.
• Completing the Square, and finding maximum/minimum values.
• Proving quadratic expression is always positive or always negative (Q10,11)
• LG - EX 1-3AB

Differentiate (1) $y=(3x^3+1)(-4x^2-3)^4$ and (2) $y=\left( 5x^3-3\right)^5\left(-4x^5-3\right)^\frac{1}{4}$.

 

Ex3-9A Q4 and 3-9B Q2 - Max Min problem (week 13)

 

Tutorial 2.6.2023 - Present Value Formula - Ex7-4 Q11 9 (board)

 

and this is just a quick question about drawing f' given f

lecture question

 

Tutorial - Present Value Formula - Ex7-4 Q11

 

Answers to quick quiz on differentiation

 

Quick quiz - differentiation

Answers

Curve sketching examples LG Ex 3-8Q and Q8. (Tutorial 23-June2023)

Sent from Proton Mail for iOS

Tutorial - Simple & Compound Interest, Effective interest rate, FV (Future Value)

 

Also, a student asked me about this effective interest rate question in 

Ex 7-2B Q3

Extra differentiation exercises (plus quick quiz) - https://www.kutasoftware.com/freeica.html

 https://www.kutasoftware.com/freeica.html

For more exercises on differentiation (very very important to get this skill right now!!)

Basic powers, constants

https://cdn.kutasoftware.com/Worksheets/Calc/03%20-%20Power%20Constant%20and%20Sum%20Rules.pdf

Second order derivatives - $y''$

https://cdn.kutasoftware.com/Worksheets/Calc/03%20-%20Higher%20Order%20Derivatives.pdf

Product Rule

https://cdn.kutasoftware.com/Worksheets/Calc/03%20-%20Product%20Rule.pdf

Quotient Rules

https://cdn.kutasoftware.com/Worksheets/Calc/03%20-%20Quotient%20Rule.pdf

Chain Rule

https://cdn.kutasoftware.com/Worksheets/Calc/03%20-%20Chain%20Rule.pdf

Quiz - Test Yourself Now!!

In an exam, these are 1 mark each, answer does not have to be simplified here as we are not using it directly. But its still a good exercise to factorise.

Quick Quiz

See another post for answers :-)

Calculus Brief Summary

  Calculus Brief Summary

Basic Differentiation Rules - Summary

 Basic Differentiation Rules - Summary

Tutorial questions (Friday T2 week 11) - from Ex 3-6 and 3-7A

 

Geometric Progressions and Sum to Infinity - tutorial 14 june 2023