Optimisation [IB Maths AA SL/HL]

[@ameliaa179]

You’ve taught me more in 17 mins than my teacher over a week 🙏

[@OSC1990]

I'm so glad you could benefit from the video! Cheers, Mitch

[@tanush4021]

I am learning calculus for the first time and I am on this video after only 3 days, following your series. Very engaging and fun to watch. Thanks

[@OSC1990]

I'm so glad! Keep it up! Hopefully you'll find calculus isn't nearly as difficult as you thought. :) Cheers, Mitch

[@tanush4021]

@@OSC1990 Thanks Mitch, I hope IB becomes less confusing while I refer to your vids on math hl and physics hl

[@user-ye9of4zr5v]

What I love about your teaching is how you incorporate memes (the fun stuff) as well as real life applications at the end (the meaningful stuff).... this makes the teaching more interactive and engaging! Most teachers just teach to complete the syllabus... you don't! Hats off for that

[@OSC1990]

I'm so happy for your comment - my goal really is to get students to understand the material better. Using a dumb joke can often be a way to break the ice, so to speak, and help people to see it doesn't have to be so crazy. You can do this!

[@cringe4021]

thank you sir you are amazing. taught me pretty much everything my teacher failed to teach me. thank you

[@TomboyPhillie]

i finally understand optimisation. thank you so much

[@OSC1990]

You're most welcome

[@taylannuhoglu8349]

You are a great teacher, keep up the great work!

[@OSC1990]

Thank you so much! :)

[@Alfonso.13]

watching this the night before my exam

[@OSC1990]

Good luck with the exam! Cheers, Mitch

[@akmalsultanov3990]

Hey Mitch, so I had a question about the maximization part, so I find the max/min using the 2nd derivative and the concavity, I know when the answer is negative that means the value is a maximum and when it's positive that means the value is a minimum so if the answer turns out to be 0 will that be a maximum or a minimum? Hopefully, my question made some sense.

[@OSC1990]

If it's 0 then it's neither a maximum or a minimum. You've got this! :)

[@IsabelleStierlin-r3p]

what happens if I want to minimise the derivative/differential itself or in other words, decrease the rate of change? or if I want to maximise one thing by minimising the one it changes with. It is super confusing, but I am trying to minimise the rate of change for sound dispersal in order to have the desired sound intensity at the desired distance, by not having to start with an extremely high sound level or P.

[@OSC1990]

To minimize something that's already a derivative is actually pretty easy. That's pretty much the definition of the second derivative. So, for example let's say you look at displacement vs time. If you want to minimize this (for example where is the displacement at a minimum?), then you take the first derivative (ds/dt). This will get you what you wanted, plus it's also the definition of velocity. However, if you want to know when is the velocity at a minimum? You can take the derivative of the velocity (dv/dt), which happens to be the SECOND derivative of displacement vs time. You end up finding the acceleration.

[@IsabelleStierlin-r3p]

Thank you so much @@OSC1990 ! A lot of help :)

[@TomboyPhillie]

thank you very much

[@OSC1990]

You are welcome